Question

In the given figure, HT shows the height of a tree standing vertically. From a point P, the angle of elevation of the top of the tree (that is ∠P) measures 42° and the distance to the tree is 60 metres. Find the height of the tree

Answer 1

Let the height of the tree HT be “x”

In the ΔHTP,

tan 42° = `"HT"/"PT"`

0.9004 = `x/60`

x = 0.9004 × 60

= 54.024

The height of the tree = 54.02 m