Question

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

Answer 1

Answer:

150.90 feet

Step-by-step 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 :

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

So, the length of the string is 150.90 feet.