The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.​

Answers

Answer 1

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

tanθ = h/121 m

In triangle with angle 90-∅

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

The Angle Of Elevation Of The Top Of A Tower From Two Points 121 M And 144 M Away From The Foot Of The

Related Questions

Give two real world examples of a "sector" of a circle.

Answers

Answer : One of the most common real-life examples of the area of a sector is a slice of a pizza. The shape of slices of a circular pizza is like a sector. A pizza of 7 inches radius is sectioned into 6 equal slices as shown in the below figure. Each slice is a sector.

Step-by-step explanation:

1/5 + 1/6 in fraction formm

Answers

11/30 because you do it yeah totally

Please help me for my homework

Answers

Answer:

m<CAO = 56

Step-by-step explanation:

When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,

(m<DOA) + (m<CAO) = 180

Substitute,

3x + 40 + 2x = 180

Simplify,

5x + 40 = 180

Inverse operations,

5x + 40 = 180

     -40    -40

5x = 140

/5     /5

x = 28

Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.

<CAO = (2x)

= 2(28)

= 56

Addison made some chilli with 3/4 of a can of black beans and 5/8 of a can of pinto beans. How many cans of beans did addison use in all?​

Answers

Answer:

1 3/8 Cans

Step-by-step explanation:

When you have unlike denominators, Find the Least Common Denominator.

LCD: 8

Multiplying numerators and denominators to get the LCD in all fraction denominators

3 x 2

____             +  5/8

4 x 2

Then you need to re-write the equation with the equivalent fractions.

6/8 + 5/8

Simplify your answer

11/8 = 1 3/8

y= -5x +10
y= -2x-2
solve by substituions

Answers

Answer:

x = 4, y = -10

Step-by-step explanation:

if both expressions equal 'y' then you can solve by setting them equal to each other:

-5x + 10 = -2x - 2

-3x + 10 = -2

-3x = -12

x = 4

find 'y':

y = -5(4)+10

y = -20 + 10

y = -10

Please help me with this one!!

Answers

Answer:

1/18 simplified or in this case 2/36 (The first option)

Step-by-step explanation:

Well there are 36 outcomes of 2 dice rolls. Only 2 of them will get you 3, 1 and 2 and 2 and 1. So 2/36

Determine the intercepts of the line.
x-intercept:
y-intercept:

Answers

Answer:

x = -7.5

y = 5.5

Step-by-step explanation:

Used graph

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

11

Step-by-step explanation:

11 i think:) hoped this helped

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 15
Green 6
Yellow 5
Purple 8
Based on these results, express the probability that the next spin will land on purple as a decimal to the nearest hundredth.

Answers

Answer:

The probability that the next spin will land on blue is 0.12.Step-by-step explanation:

The result of the several spins are as follows:

Color           Frequency

Red                  18

Blue                   9

Green               18

Yellow              19

Purple               12

TOTAL             76

Compute the probability that the next spin will land on blue as follows:

Thus, the probability that the next spin will land on blue is 0.12.

hello please help i’ll give brainliest

Answers

Step-by-step explanation:

I think Gold is the correct answer. Thanks.

Pretty sure the answer is Alloys.

find the solution of given expression

[tex] \sqrt{100 \times 16} [/tex]

Answers

Answer:

[tex] \sqrt{100 \times 16} [/tex]=[tex] \sqrt{10² \times 4²} [/tex]=±(10×4)=±40 is your answer

4
In the following figure, the value of x is
20
35°
C
B
Note: Round your answer to the nearest tenth.

Answers

The answer is 15 I’m pretty sure

Please help with this question.

Answers

Answer:

45 in³

Step-by-step explanation:

LxWxH = V

length x width x height = Volume

5 x 3 x 3 = 45

Answer:

45 inches

Step-by-step explanation:

7 Simplify the expressionby
combining like terms

3g+ 21439 +40 +41 =

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3g + 21,439 + 40 + 41}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{(21,439 + 40 + 41) + (3g) }[/tex]

[tex]\large\textsf{21,439 + 40 + 41}\\\large\textsf{21,439 + 40 = \bf 21, 479}\\\large\textsf{21,479 + 41}\\\large\textsf{= \bf 21,520}[/tex]

[tex]\large\textsf{3g = \bf 3g}[/tex]

[tex]\large\textsf{= \bf 3g + 21, 520}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 3g + 21,520}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1.9h + 42.9 > 65.7
solve for h

Answers

Answer:

h > 12

Step-by-step explanation:

have a good day!! :)

Answer:

H>12

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "65.7" was replaced by "(657/10)". 3 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               (19/10)*(h)+(429/10)-((657/10))>0

Step by step solution :

STEP

1

:

           657

Simplify   ———

           10

Equation at the end of step

1

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

2

:

           429

Simplify   ———

           10

Equation at the end of step

2

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

3

:

           19

Simplify   ——

           10

Equation at the end of step

3

:

   19         429     657

 ((—— • h) +  ———) -  ———  > 0

   10         10      10

STEP

4

:

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

19h + 429     19h + 429

—————————  =  —————————

   10            10    

Equation at the end of step

4

:

 (19h + 429)    657

 ——————————— -  ———  > 0

     10         10

STEP

5

:

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(19h+429) - (657)     19h - 228

—————————————————  =  —————————

       10                10    

STEP

6

:

Pulling out like terms :

6.1     Pull out like factors :

  19h - 228  =   19 • (h - 12)

Equation at the end of step

6

:

 19 • (h - 12)

 —————————————  > 0

      10      

STEP

7

:

7.1    Multiply both sides by  10

7.2    Divide both sides by  19

Solve Basic Inequality :

7.3      Add  12  to both sides

            h > 12

Inequality Plot :

7.4      Inequality plot for

        1.900 X  - 22.800  >  0

 

Solve.
(4 x 104)(2 x 103)

Answers

Answer:

85,696

Step-by-step explanation:

4 x 104 = 416

2 x 103 = 203

No sign between parentheses means that you have to multiply the two outcomes of the parentheses.

416 x 203 = 85,696

Find the length of a side of a square with area of 2 66 m .

Answers

Answer:

Step-by-step explanation:

17, is the answer.

What conclusion can be made for c and e? Triangle ABC has side AB measuring c, side BC measuring 4 units, and angle ACB measuring 36 and a half degrees. Triangle ABC is connected to triangle ACD by shared side AC. Triangle ACD has side AD measuring e and angle ACD measuring 27 and 8 tenths degrees. Segments BC, AC, and DC are marked congruent. c ≥ e c ≤ e c > e c < e

Answers

Answer:

IM ALSO DOING THIS TEST; I'm almost 100% sure it's C>E, since E is a line segment and C is an angle containing two line segments.

Step-by-step explanation:

I'm honestly not sure, but If it's wrong when I submit the test I will tell you <3

Answer:

c > e

Step-by-step explanation:

I actually got it right on part one of my test

The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

630

Answer:

789 to nearest whole number.

Step-by-step explanation:

In 4 years its increased from 220 to 350.

350 = 220(e)^4k  where k is some constant.

e^4k = 350/220

4k = ln (350/220) = 0.4643

k = 0.1161

The equation  of growth is therefore

P = 220e^0.1161t)

So  in 2011 ( t = 11 years) the

Population = 220 * e^(11*0.1161)

= 789.

A company logo is shaped like an equilateral triangle with 3-inch long sides. What is the height of the logo? Round to the nearest tenth.

Answers

Answer:

about 2.6 in.

Step-by-step explanation:

[tex]h=\frac{s\sqrt{3}}{2}\\\\h=\frac{3\sqrt{3}}{2}\\\\\frac{3\sqrt{3}}{2}\approx2.6\\\\h\approx2.6[/tex]

2y-6=6x how do i find y

Answers

Answer:

y=3x+3

Step-by-step explanation:

Let's solve for y.

2y−6=6x

Step 1: Add 6 to both sides.

2y−6+6=6x+6

2y=6x+6

Step 2: Divide both sides by 2.

2y /2 = 6x+6 /2

y=3x+3

brainliest please?

Answer:

y=3x+3

Step-by-step explanation:

add 6 to both sides and then divide both sides by 2

A truck produces 22 pounds of carbon dioxide for every gallon of diesel fuel burned. The fuel economy of the truck is 18 miles per gallon. Write and graph a function that describes the relationship between carbon dioxide produced and distance traveled.

Answers

Answer:

22 pounds of carbon dioxide

18 miles per gallon

Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:

What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?

A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3; 2/9

Step-by-step explanation:

13. ¿Cuál es el vértice de la parábola y=2x^2-16x+2?
A) (4.-30)
B) (4,0)
C) (-4,38)
D) (-4,-30)
E) (5,2)

Answers

Answer:

i dont know the language  .................

Step-by-step explanation:

show all steps solving this 2x^2=13x+7

Answers

Answer:

x = -1/2, 7

Step-by-step explanation:

2x^2 = 13x + 7

bring everything to one side: 2x^2 - 13x - 7 = 0

factor it out: 2x1 = 2 and -7x1 = -7.

-7x2 = -14 and 1x1 = 1

-14 + 1 = -13, so these numbers work

you end up with (2x + 1)(x - 7) = 0

solve each section:

2x + 1 = 0                         x - 7 = 0

2x = -1                              x = 7

x = -1/2                              

DONT SEND LINKS Find the value of y given the value of x:


Y=7x, x=-5

Answers

Answer:   x = -5

Step-by-step explanation:

Solve equation [2] for the variable  x

Plug this in for variable  x  in

Solve equation [1] for the variable  y  

The answer is -35. To find this, just multiply -5 and 7.

Round 33.825 to the nearest hundredths in place

Answers

Answer:

33.83

Step-by-step explanation:

Answer:

33.83

^Hope this helps, Hazel^

Find the first four terms of the sequence, an = 4 − 2n

Answers

Answer:

2, 0, -2, -4

Step-by-step explanation:

an = 4 − 2n

a1 = 4 - 2(1) = 2

a2 = 4 - 2(2) = 0

a3 = 4 - 2(3) = -2

a4 = 4 - 2(4) = -4

Answer:

(2, 0, -2, -4)

Step-by-step explanation:

a(1) = 4 - 2(1)

= 4 - 2

= 2

a(2) = 4 - 2(2)

= 4 - 4

= 0

a(3) = 4 - 2(3)

= 4 - 6

= -2

a(4) = 4 - 4(4)

= 4 - 8

= -4

Solve For X. Helppp!

Answers

Answer:

x = 64

Step-by-step explanation:

The 3 angles on the right lie on a straight line and sum to 180° , that is

90 + x + 26 = 180

x + 116 = 180 ( subtract 116 from both sides )

x = 64

Answer:

64

Step-by-step explanation:

You have to do 90 - 26, which will then give you the answer 64

Double check it: 26 + 64 = 90.

simplify this for me please!! Thanks

Answers

I think I can get the answer but I’ll leave this here so I can comment it

Answer: [tex]3^{9}[/tex]

Explanation:

When the base is the same and the terms are being divided, you subtract the exponents and leave the base as it is:

12 - 3 = 9

[tex]3^{9}[/tex]

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