Question

Benny is flying a kite directly over his friend Frank, who is 125 meters away.When he holds the kite string down to the ground, the string makes a 39° anglewith the level ground. How high is Benny's kite?Draw a sketch depicting the situation above.b.)Use trigonometry to determine the height of Benny's kite.

Answer 1

Let us draw a diagram to illustrate the information

Using SOHCAHTOA

`\begin{gathered} tan\theta=(opposite)/(adjacent) \\ \\ tan39=(h)/(125) \\ cross\text{ multiply} \\ h=125* tan39 \\ \\ h=101.2230041 \\ \\ h=101.22m\text{ \lparen to two decimal places\rparen} \end{gathered}`