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frosja888 [35]
3 years ago
7

Sam is at the top of a tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40 ft. T

he zip lines angle of elevation from the lower tower is LaTeX: 15^\circ.15 ∘ . What is the horizontal distance between the two towers? Round your answer to the nearest hundredth. Group of answer choices

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

149.30ft

Step-by-step explanation:

Since the vertical distance between the two tower = 40ft

The angle of elevation from the lower tower to te higher tower = 15°

The horizontal distance between the two towers = x

Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.

Check attached document for better illustration of the triangle.

Tanθ = opposite / adjacent

Opposite = 40

θ = 15°

Adjacent = x

Tan15 = 40 / x

0.2679 = 40 / x

X = 40 / 0.2679

X = 149.30ft

The horizontal distance between the two towers is 149.30ft

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Answer:

C. 72\pi

Step-by-step explanation:

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3 0
4 years ago
If (-3, y) lies on the graph of y = , then y =
ser-zykov [4K]

Answer:

The value of y is 64.

Step-by-step explanation:

The given equation is

y=(\frac{1}{4})^x

It is given that (-3, y) lies on the graph of y. It means the equation of the function must be satisfy by the point (-3,y).

Substitute x=-3 in the given equation to find the value of y,

y=(\frac{1}{4})^{-3}

y=4^{3}                      (\frac{a}{b})^{-n}=(\frac{b}{a})^n

y=64

Therefore the value of y is 64.

5 0
4 years ago
Hi. Please help me write a equation for this graph.
jenyasd209 [6]

Answer:

y=600x

Step-by-step explanation:

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6 0
3 years ago
How do I solve this problem?
german
Take the angle then multiple them by what ever needs to be, then finish it. and sorry not in geometry abd i am not good with angles.
8 0
4 years ago
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IrinaK [193]

Answer:

40 chocolates

Step-by-step explanation:

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3 years ago
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