Tower A and B are 151 m apart.
From the top of tower A at 68 m above ground, the angle of elevation to the top of tower B is 23°.
How tall is tower B to the nearest metre?

Tower A And B Are 151 M Apart.From The Top Of Tower A At 68 M Above Ground, The Angle Of Elevation To

Answers

Answer 1

Answer:

132m

Step-by-step explanation:

Height of tower B = Height of tower A + difference in height between tower B and A

The difference in height can be determined using tan

tan 23 = opposite / adjacent

tan 23 = opposite / 151

0.4245 x 151 = opposite

opposite = 64m

Height of tower B =  64m + 68m = 132m


Related Questions

can someone please answer

Answers

Answer:

x =62

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+118 = 180

Subtract 118 from each side

x = 180-118

x =62

Answer:

x = 62°

Step-by-step explanation:

These both angles are located at straight line.

So, the sum of both angles is 180 °.

x + 118 ° = 180 °

Subtract 118 ° from 180 °

x = 180 ° - 118 °

x = 62 °

Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Answers

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that [tex]a = -3, b = 3[/tex]

[tex]f(x) = x^2 + 3x + 6[/tex]

So

[tex]f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24[/tex]

[tex]f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6[/tex]

Average rate of change

[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5[/tex]

The average rate of change of the function over the interval is 5.

what are the x intercepts if y=5x^2-15x​

Answers

Answer:

The x Intercepts of y=5x^2-15x is (1, 0) and (-1, 0)

Step-by-step explanation:

Answer:

(0,0) and (3,0)

Step-by-step explanation:

5x²-15x = 0

5x(x-3) = 0

5x=0;    x=0

x-3=0;   x=3

PLEASE I NEED HELP kitty’s
• graph and multiple choice
Plz I need it right to pass
(Easy point)10

Answers

Answer: D

The question mentions that at month 1, there are 8 milligrams of a radioactive substance. So on the graph the first point – month 1 would be at 8.

It halves each month, so the point for month 2 would be at 4, and so on.

Hope it helps :]

The quantity y varies as the cube of (x+2) y=32 when x=0. Find y when x=1

Answers

Answer:

[tex]y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108[/tex]

a) If a + 5 = 15, then find the value of a​

Answers

Answer:

The answer is 10

Step-by-step explanation:

a + 5 =15

15-5=10

Answer:

Step-by-step explanation:

a+5=15

a=15-5

a=10

A number increace by a 5 is 12

Answers

Answer:

[tex]n + 5 = 12[/tex]

Step-by-step explanation:

"A number increased by a 5 is 12".

The value of n.

[tex]n + 5 = 12[/tex]

[tex]n = 12-5[/tex]

[tex]n = 7[/tex]

Hope it is helpful....

Answer:

7

Step-by-step explanation:

subtract the sum, in this case 12. by 5 to get the answer. 12-5=7

Find the value of x in The parallelogram.

Answers

Answer:

122 degrees

Step-by-step explanation:

A parallelogram has 360 degrees in total

360 - (58 + 58) = 244

244/2 = 122

I hope this helped you!

Answer:

x = 122

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

x + 58 = 180 ( subtract 58 from both sides )

x = 122

Simplify:9-1÷2÷27^2÷3​

Answers

First let's calculate the exponents.

[tex]27^2 : 729 = 9-1\div \:2\div \:729\div \:3[/tex]

Now we should multiply and divide.

[tex]1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}[/tex]

Now we should add and subtract.

[tex]9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}[/tex]

Convert the improper fractions into mixed numbers.

[tex]8\frac{4373}{4374}[/tex]

Answer :

[tex]8\frac{4373}{4374}[/tex]

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP

Answers

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

An ordered pair is translated 2 units left and 6 units up. Describe the translation using translation notation.

Answers

Answer:

y = (x+2) + 6

Step-by-step explanation:

A music store bought a CD set at a cost of​ $20. When the store sold the CD​ set, the percent markup was​ 40%. Find the selling price.

Answers

Answer:

$28.00

Step-by-step explanation:

1. The markup is 40% of the $20 cost, so the markup is:

(0.40)(20) = 8

2. Then the selling price, being the cost plus markup, is:

20 + 8 = 28

3. The CD set sold for $28.00

Step-by-step explanation:

sp=(100+p)% of cp

=100+40/100*20

=140/100*20

=28

Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest

Answers

Answer:On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. ...

Draw a bar extending from the lower value of each interval to the lower value of the next interval.

Step-by-step explanation:

Answer:

Attached is a file of a sample histogram compiled by Social Science Statistics with the values in the question inputted.

Step-by-step explanation:

Histograms are bar graphs that represent a set of values. The vertical y-axis indicate how many values there are in a certain interval, and the horizontal x-axis indicates those intervals, usually in intervals of 10, but this depends on the range of your data.

A histogram with the following forty (40) values:

37, 22, 28, 25, 53, 29, 37, 41, 54, 29, 23, 30, 37, 41, 27, 26, 39, 24, 36, 48, 45, 31, 27, 40, 38, 41, 39, 37, 30, 44, 42, 46, 53, 43, 44, 43, 49, 51, 38, 32

A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?

Answers

165 is the radius because 169-169 is 0
Your answer is going to be 0

PLEASE help!! I will give BRAINLIST :)

Answers

Answer:

[tex]1 + cot^2 \theta[/tex]

Step-by-step explanation:

Given the expression;

[tex]\frac{tan^2\theta+1}{tan^2 \theta}[/tex]

Separating into partial fraction;

[tex]\frac{tan^2 \theta}{tan^2 \theta} + \frac{1}{tan^2 \theta}\\= 1 + \frac{1}{tan^2 \theta}\\\\[/tex]

Since [tex]\frac{1}{tan \theta} = cot \theta\\[/tex]

Hence the expression becomes;

[tex]1 + cot^2 \theta[/tex]

What are the scores of the students which are less than equal to 25% of the data?

Answers

Answer:

24/100

Step-by-step explanation:

6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft​

Answers

Answer:

Step-by-step explanation:

I believe it is 26?

2,6, 18, 54,162
The common ratio ""is3
Is this right?

Answers

Answer:

yes it is

Step-by-step explanation:

write the following ratios in simplest form.

35:100​

Answers

Answer:

7:20

Step-by-step explanation:

divide both by 5 to simplify

Min had some cards
He gave 1/2 of them to bill.
Bill gave 1/3 of those to Sam.
Sam gave Min 2 cards back and kept 6.

How many cards did Min have in the end?

Answers

Answer:

26 cards

Step-by-step explanation:

Sam:

⅓=2+6

=8

Bill:

3/3=3×8

=24

3/3=½

24+2=26

Now ,Min have 26 cards.

hope it help

URGENT PLS HELP!!!
divide 2475ml in the ratio 3:8

Answers

Answer:

765 ml & 1800 ml

Step-by-step explanation:

[tex]3x + 8x = 2475\\\\11x = 2475\\\\x=225\\\\3(225)=765\\8(225)=1800[/tex]

765 have a good day

You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?

Answers

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

what is z
10.42= −2.6z+0.8

Answers

Answer:

-3.7 =z

Step-by-step explanation:

10.42= −2.6z+0.8

Subtract .8 from each side

10.42-.8= −2.6z+0.8-.8

9.62= −2.6z

Divide each side by -2.6

9.62 / -2.6 = -2.6z/-2.6

-3.7 =z

[tex]\sf\purple{The\:value\:of\:z\:is\:-3.7.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]10.42 = - 2.6 \: z + 0.8 \\ \\✒ \: 2.6 \: z = 0.8 - 10.42\\ \\ ✒ \: 2.6 \: z = - 9.62 \\\\ ✒ \: z \: = \frac{ - 9.62}{2.6} [/tex]

To remove the decimals, we multiply both numerator and denominator by 100.

[tex]✒ \: z \: = \frac{ - 962}{260} \\ \\ ✒ \: z = - 3.7[/tex]

To verify:-

[tex]10.42 = - 2.6 \times ( - 3.7) + 0.8 \\ \\✒ \: 10.42 = 9.62 + 0.8 \\ \\✒ \: 10.42 = 10.42 \\\\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Here is an expression: 3 ⋅ 2^t. Evaluate the expression when t is 4.

Answers

Answer:

48

Step-by-step explanation:

3 ⋅ 2^t

3 * 2^4

3*16

48

In circle F with mEHG = 42, find the mEFG.

Answers

Answer:

∠EFG=2×∠EHG

∠EFG=2×42

∠EFG=84°

so,m∠EFG=84°

------------------------

hope it helps...

have a nice day!!

h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))

Answers

[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]

two hundred minus the number two

Answers

Answer:

200-2 = 198

Step-by-step explanation:

If you have 200 apples and you eat two you have 198 apples

Translate the following sentence into an equation using n for the unknown number. Then solve for n. when 15 is decreased by three times a number, the result is 21 a. 15 minus 3 n = 21. n = negative 2. b. 3 n minus 15 = 21. n = negative 2. c. 3 n minus 15 = 21. n = 12. d. 15 minus 3 n = 21. n = 2. Please select the best answer from the choices provided A B C D

Answers

Answer:

n=-2,A

Step-by-step explanation:

15-3n=21

-3n=21-15

-3n=6

n=6/-3

=-2

Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?

−12
−4
3
12

Answers

Answer:

3

X is slope but the equation isnt set up proper

12x-4y=3

-12x -12x

-4y=-12x+3

/-4 /-4

y= 3x+3/-4

Answer:

3

Step-by-step explanation:

can anyone answer this ?
plz show your working as well
1) (3x2– 4x – 1) + (8x2– x + 6)
2) (6x2– x – 4) + (2x2+ 5x – 5)
3) (4x2 +2x – 5) + (6x2– x – 5)

Answers

1.

[tex](3 {x}^{2} - 4x - 1) + (8 {x}^{2} - x + 6) \\ \\ combining \: the \: like \: terms,\:we\:have\\ \\ = 3 {x}^{2} + 8 {x}^{2} - 4x - x - 1 + 6 \\ \\ = 11 {x}^{2} - 5x + 5[/tex]

2.

[tex](6 {x}^{2} - x - 4) + ( 2{x}^{2} + 5x - 5) \\ \\combining \: the \: like \: terms, \: we \: have \\ \\= 6 {x}^{2} + 2 {x}^{2} - x + 5x - 4 - 5 \\ \\= 8 {x}^{2} + 4x - 9[/tex]

3.

[tex](4 {x}^{2} + 2x - 5) + (6 {x}^{2} - x - 5) \\ \\ combining \: th e\:l ike \: terms, \: we \: have \\ \\= 4 {x}^{2} + 6 {x}^{2} + 2x - x - 5 - 5 \\ \\= 10 {x}^{2} +x - 10[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Other Questions
I need help with a few homework, if you're willing to help PLEASE ANSWER 7. Lin is saving $300 per year in an account that pays 15% interest per year,compounded annually. About how much money will she have 20 years after shestarted?A. $545.45B. $3,748.78C. $9,411.43D. $1,124,634,54 Please find the 5 codes, thank you. During fiscal year 2018, BHD Inc. had Cash from Operations of $600 million, and Cash Used for Investing of $1,000 million. During the year the Cash account on the balance sheet decreased by $700 million. This implies that the Financing cash flow was an A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy? Graph and show work hurry plsssy=179xY=105x+2046 hello would anyone like to answer this for me asap just give the answers either true or false 100 mrks Worth please don't answer if u not answering the questions PLEASE need help with this! just scienceeeeeee Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she walked up 9 flights of stairs, how many flights did she run up?39122736 Mineral-rich Democratic Republic of the Congo is one of the world's most important sources of uranium. It also is a source of copper, tin, diamonds (mainly industrial), gold, cobalt, and zinc. Agricultural products include palm oil and kernels, cottonseed, rubber, cotton, coffee, peanuts, sweet potatoes and yams, and cassava. How many cotton products does Democratic Republic of the Congo produce Is this a statistical question?"What is the weight of a mouse?" PLEASE HELP WILL MARK YOU IF YOU HELP ME Identify the item below that would cause the trial balance to not balance.i. A $1,000 collection of an account receivable was erroneously posted as a debit to Accounts Receivable and a credit to Cash.ii. The purchase of office supplies on account for $3,250 was erroneously recorded in the journal as $2,350 debit to Office Supplies and credit to Accounts Payable.iii. A $50 cash receipt for the performance of a service was not recorded at all.iv. The purchase of office equipment for $1,200 was posted as a debit to Office Supplies and a credit to Cash for $1,200.v. The cash payment of a $750 account payable was posted as a debit to Accounts Payable and a debit to Cash for $750. Calculate the length of side AC: Alex has a 100 cm ruler pivoted at the centre. She ties a balloon filled with carbon doxide 16 cm from the pivot The total weight of the balloon and carbon dioxide is 0.06 N The ruler becomes unbalanced. Calculate the turning moment the balloon produces about the pivot on the ruler Give the unit Which revision in a technical document would help make the document clearer and more concise?A. changing the sentences from active voice to passive voiceB. using terms specific to the subject or industryC. substituting formal words with simpler onesD. including to be verbs wherever possible I need help for grade!!!! A point outside (to the right of) the production possibilities curve of a nation implies that this nation is using its resources fully. implies that there are unemployed resources in this nation. is easily attainable for this nation. is not attainable for this nation. Submit Carrie is comparing the growth of plants under natural and artificial light sources.Part AUse the measures of center from the box plots to make an inference about the data.Part BUse the box plots to make an inference using the variability of the data. Richards Corporation had net income of $205,359 and paid dividends to common stockholders of $41,600. It had 53,900 shares of common stock outstanding during the entire year. Richards Corporation's common stock is selling for $63 per share. The price-earnings ratio is