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 th…

Question

asked Dec 20, 2019 78.8k views

1 Answer

TGH · Answer 1 · 2019-12-24T02:52:06+0000

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.