Question

Your kite is stuck in a tree that is 35 feet tall. The angle your string makes with the groundis 66°. Rather than worrying about the kite, you decide to calculate how much string youhave let out. Assuming the string is held tight and makes a straight line to the ground, howmuch string have you let out?

Answer 1

The situation described is shown below:

The length of the string is the hypotenuse of the right triangle. Then we have that:

`\begin{gathered} \sin 66=(35)/(s) \\ s=(35)/(\sin 66) \\ s=38.31 \end{gathered}`

Therefore the length of the string is 38.31 ft