From a point on the ground, the top of a tree is seen to have an angle of elevation `60^(@)`. The distance between the tree and a point is 50 m. Calculate the height of the tree?

Explanation

Angle `theta = 60^(@)`
The distance between the tree and a point
x = 50 m
Height of the tree (h) = ?
For triangulation method `tan theta = h/x`
`h = x tan theta = 50 xx tan 60^(@) = 50 xx 1.732`
h = 86.6 m
The height of the tree is 86.6 m.