Question

A tree standing vertically on level ground casts a 130 foot long shadow. the angle of elevation from the end of the shadow to the top of the tree is 21.8°. find the height of the tree to the nearest foot.

Answer 1

The height of the tree is 52 ft.

The height of the tree is calculated by the tangent law

tan21.8°=
`(height)/(shadow)`

tan21.8=h/130

h=52 ft

Therefore the height of the tree is 52 ft.