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A kite is flying 99 ft off the ground, and it's string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the nearest tenth

User Sayooj V R
by
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1 Answer

3 votes

Answer:

150.90 feet

Explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :


\sin\theta=(P)/(H)\\\\H=(P)/(\sin\theta)\\\\H=(99)/(\sin(41))\\\\H=150.90\ \text{feet}

So, the length of the string is 150.90 feet.

User Mike Vella
by
8.3k points
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