SOLUTION: A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite? Round to

Question 1208979: A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite? Round to the nearest foot
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground.
Assuming that the string is straight, how high above the ground is the kite? Round to the nearest foot
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In this problem, you have a right triangle, its hypotenuse of 300 ft long
and the angle of 38°, opposite to the height (=altitude) h, which is an unknown.


So, use the definition of the sine

    sin(38°) = ,


and find the height

    h =  =  = 184.7  feet  (rounded).

At this point, the solution is complete.

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