Question

Susan is flying a kite,which gets caught in the top of a tree. Use the diagram to estimate the hieght of the tree to the nearest tenght of a foot

Answer 1

In order to estimate the height of the tree, we can use the tangent relation of the angle 44°.

The tangent relation is the length of the opposite side to the angle over the length of the adjacent side to the angle.

So we have that:

`\begin{gathered} \tan (44\degree)=(h)/(90) \\ 0.966=(h)/(90) \\ h=90\cdot0.966 \\ h=86.94 \end{gathered}`

Rounding to the nearest tenth, we have a height of 86.9 feet.