A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?

Answers

Answer 1

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

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Related Questions

Help please!! I will mark brainilist and give a lot of points.


This is Pythagorean theorem.

Formula: a^2+b^2=c^2

When I say ^2 I mean to the power of 2.

The question is asking me to solve for a.

Then give me b and c which is b = 17 1/3 and c = 16.

How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?

Unless I’m wrong.


Please help my solve this!!!!! :D

Answers

Hello there,

I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is

[tex]a = 6 \frac{2}{3} [/tex]

Hope you could get an idea from it.

Doubt clarification - use comment section.

What are the steps for solving and graphing 2x - 3y = 9?

please help!

Answers

Answer:

Step-by-step explanation:

Bradley is 27 years older than Madison. Seven years ago, the sum of their age was 59. How old are they now?

Answers

Answer:

bradley is 50 and madison is 23

Step-by-step explanation:

m + 27 = b

(b - 7) + (m - 7) = 59

[(m + 27) - 7] + (m - 7) = 59

m + 20 + m -7 = 59

2m + 13 = 59

2m = 46

m = 23, b = 23 + 27 = 50

Encuentra las coordenadas del punto P(x,y) que divide al segmento P1P2 con coordenadas
de sus extremos P1(x1,y1) y P2(x2,y2) dada la razón r.
P1(-1,6) P2(3,-3) r = ¾

Answers

Usando segmentos de línea, se encuentra que el punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

El punto P1 es dado por (-1,6).El punto P2 es dado por (3, -3).

El punto P divide el segmento en la razón [tex]r = \frac{3}{4}[/tex], o sea:

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

La coordenada x de P1 es -1.La coordenada x de P2 es 3.La coordenada x de P es x.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]x + 1 = 3[/tex]

[tex]x = 2[/tex]

La coordenada y de P1 es 6.La coordenada y de P2 es -3.La coordenada y de P es y.

[tex]P - P_1 = \frac{3}{4}(P_2 - P_1)[/tex]

[tex]y - 6 = -\frac{27}{4}[/tex]

[tex]y = -\frac{27}{4} + \frac{24}{4}[/tex]

[tex]y = -\frac{3}{4}[/tex]

El punto es [tex]P\left(2, -\frac{3}{4}\right)[/tex]

Un problema similar es dado por https://brainly.com/question/4854238

What are the coordinates of point P' if point P(3, -4) is reflected over the line y = x? *

Answers

Answer:

(4,3)

Step-by-step explanation:

please mark as brainliest if correct

thank you

19NBoli

Estimate the total of 56.213, 7.983, and 0.344 by rounding each value to the nearest hundredth

Answers

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ3

PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?

a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?

Answers

Answer:4 dimes = 40 cents

1 nickel 3 pennies =8 cents

5 quarters and 1 dime = $1 and 35 cents

step explanation:

A driver driving a business trip of 240 miles would have reached his destination if he'd been able to drive 12 mph faster than he made the trip. Find the average speed of his trip.

Answers

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

https://brainly.com/question/11753352

In year one the population of rabbits is 100. In year three the population is 300. Assuming the population is to go unchecked and is linear what will be the population in year 10? Construct a formula for this.

Answers

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

How do you find out if angle A is a right angle?

Answers

Answer:

Calculate the distance of AB, AC and BC. Then use the pythagorean theorem to see if AB^2 + AC^2 = BC^2

If it does, angle A is a right angle.

I need help on the "the slopes are" part on these 2 plz help

Answers

Answer:

Negative reciprocals

Simplify the expression: (5.2 + 6.8)x - (25 ÷ 5)x

Answers

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

The answer will be 7x guys

pleasee help meeeeeee

Answers

Step-by-step explanation:

we mulyiply 3*1 =x-7

3=x-7

-x= -7-3

-x= -11 so when we divide -11 by -x it becomes 11

Helen counted six dollars and four cents in her purse. She recorded this amount in decimal form as $6.40. Did she record it correctly? If she made a mistake, what is the correct way
to record this amount of money as a decimal?

Pls answer will give brainiest

Answers

Answer:

6 dollars and 4 cents

Step-by-step explanation:

Which statement about the slope of a line is true?

A line with a negative slope increases as it is viewed from left to right.

A line with a positive slope increases as it is viewed from left to right.

A line with a positive slope decreases as it is viewed from left to right.

Answers

Answer:

B) A line with a positive slope increases as it is viewed from left to right.

Step-by-step explanation:

A line with a positive slope increases as it is viewed from left to right.

A positive slope means that as a line on the line graph moves from left to right, the line rises.

Hope this helps :)

Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?

Answers

Answer:

95% of 80 is 76 and 85% of 60 is 51.

Step-by-step explanation:

Answer:

a. 76,  b. 60.

Step-by-step explanation:

a)  80 * 0.95 = 76.

b)   0.85 x = 51

x = 51/0.85 = 60.

What is the perimeter of the shape below?
3 cm
4 cm
8 cm
4 cm

Answers

Answer:

:D

Step-by-step explanation:

it is 19 cm

: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80

Answers

Step-by-step explanation:

their are total 12 sandwiche rolls in a dozen so,

price of 12 sandwiche rolls are $1.50

so, cost of 1 sandwich roll = 1.50/12 = $0.125

now,

cost of 30 sandwich rolls = 30 × 0.125 = $3.75

therefore, option C is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.

Answers

Answer:

360 days

Step-by-step explanation:

It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.

Hope this helps!

The quotient of a number p and 3 is 24

Answers

Answer:

p= 8

Step-by-step explanation:

because 8 x 3 is 24

hope this helps!❄︎

Answer: p would equal 8
Explanation: if you think about it and divide 24 by 3 you would get 8

F(x)=x^2. What is g(x)?
A. G(x)=-x^2
B. G(x)=-2x^2
C. G(x)=-x^2-2
D. G(x)=x^2-2

Answers

[tex] - x ^{2} - 2 = gx[/tex]

At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?

Answers

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

A triangle has side lengths of (9d+ 4) centimeters, (9d + 2) centimeters, and (3f - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

Answers

Perimeter is the sum of the 3 sides.

Add the 3 sides together by combining like terms.

9d +4 + 9d+2 + 3f -2

9d+9d = 18d

4 + 2-2 = 4

Combining like terms you get:

18d +3f +4

What is 2x=6 pls answer fasttt

Answers

[tex]2x = 6 \\ x = \frac{6}{2} = 3[/tex]

Answer:

×=6/2=3

Step-by-step explanation:

How does insurance reduce social burden?
A. Insurance ensures that people don't have to pay high deductibles.
B. Insurance ensures that losses are not passed on to society.
C. Insurance ensures that lenders publicize rates and treat all
customers equally.
D. Insurance ensures that people are treated fairly in hiring and
employment decisions.

Answers

Answer:

c po is the correct aswer

Step-by-step explanation:

correct me if im wrong hope it's help

thanks

Answer:

B. Insurance ensures that losses are not passed on to society

Hope this helps :)

BEST ANSWER GETS BRAINLIEST!!!!!!!!1

Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.

After how many minutes will the two pools have the same amount of water?


How much water will be in each pool when they have the same amount?

Answers

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]

which number line represents the solution of 1 - 2x ≥ 3

Answers

Answer:

Number line D

Step-by-step explanation:

1 - 2x ≥ 3

Subtraact 1 from both sides

-2x ≥ 2

Multiply both sides by -1

When multiplying by a negative the inequality is reversed

2x ≤ -2

Divide both sides by 2

x ≤ -1

Number line D

The diameter of the smallest visible particle is 0.0002 in. Express this number in scientific notation.

Answers

Answer:

Diameter = 2 × [tex]10^{-4}[/tex] inches

Step-by-step explanation:

Given the diameter of the smallest visible particle, 0.0002 inches, we can express this into the following scientific notation: 2 × [tex]10^{-4}[/tex] inches.  

In expressing decimal forms into scientific notation, the goal is to move the decimal point towards the right, until there is only one non-zero digit remaining towards the left-side of the decimal point.  In this case, it will take 4 units towards the right of the sole non-zero digit, which is 2. Moving the decimal point towards the right means that 10 will have a negative exponent.  

Therefore, the scientific notation of 0.0002 inches is 2 × [tex]10^{-4}[/tex] inches.  

Answer:

2·[tex]10^{-4}[/tex]

Step-by-step explanation:

Can someone help me please

Answers

Answer:

15 - 17 = 0.013333 (1.3333%)

latte drop = 8.3%

gasoline = 9%

3. Sarah has a goal to save $81.84 for a new gan
If she has 12 weeks to save the money, how much does she need
to save each week?

Answers

Answer:

93.84

Step-by-step explanation:

I think I'm not sure

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