Question

A kite is stuck in a 36-ft tree. If the angle of elevation from the kite and the ground is 12, find the length of the kite.

Answer 1

173.15 ft.

Explanation:

Please find the attachment.

Let L be the length of kite.

We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

`sin(12)=(36)/(L)`

`L=(36)/(sin(12))`

`L=(36)/(0.207911690818)`

`L=173.1504364105882792\approx 173.15`

Therefore, the length of kite is 173.15 ft.