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andrew-mc [135]
3 years ago
13

When flying a kite Peter without 45 feet of string and anchors it to the ground. He determines the angle of elevation of the kit

e is 63°. What is the height of the kite from the ground? Round to the nearest 10th.
Mathematics
1 answer:
Alexxx [7]3 years ago
4 0
We're going to  use trigometric functions! 

So we know the angle is 63° (Ф=63°)
the length of the string is 45 ft (hyp=45)
and we need to solve for height (h=?)

Using sinФ=\frac{opposite}{hypotenuse}

We can rewrite it as
sinФ=\frac{height}{hypotenuse}

By isolating the height (h) we can find the value
sinФ=\frac{height}{hypotenuse}
h= hyp(sinФ)

Then insert value of hyp, Ф and find height
h= hyp(sinФ) = 45sin63 = 40 ft

The kite is 40 ft off the ground
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