Question

A kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 48º. Find the length ofthe string. Round your answer to the nearest tenth.

Answer 1

Given data:

Kite is flying off the ground = 95ft. ( Perpendicular)

Angle = 48 degree

`\sin 48^(\circ)=(Perpendicular)/(Hypotenues)`
`\text{Hypotenues}=(Perpendicular)/(\sin 48^(\circ))`
`\begin{gathered} H=(95)/(0.7431) \\ H=127.84ft \end{gathered}`

Thus, the length of the string is 127.8 ft.