Respuesta :

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:

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

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