Question

Tom went to the park on a windy day to fly his kite. He released 40 feet of string at an angle of elevation of 36°. How high is his kite in the air?

Answer 1

23.51 ft

Step-by-step explanation:

We can represent the situation as follows

Therefore, we can use the trigonometric function sine to find the height as follows

`\begin{gathered} \sin 36=(Opposite)/(Hypotenuse) \\ \sin 36=(Height)/(40) \end{gathered}`

Because the opposite side of the angle of 36° is the height of the kite and the hypotenuse is 40 ft.

Solving for the height, we get

`\begin{gathered} 40\cdot\sin 36=\text{Height} \\ 40\cdot(0.59)=\text{Height} \\ 23.51=\text{ Height} \end{gathered}`

Therefore, the kite is 23.51 ft high in the air