Question

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45°. Find the height of the statue

Answer 1

hope this answer will help you.

Answer 2

Given,

Angle ABC=60 degrees , Angle DBC =45 degrees

DC=BC=2m

In triangle DBC

$Tan 45=DC/BC\\ 1 = 2/BC\\ BC=2m\\In angle ABC \\ Tan 60= AC/BC\\ \sqrt{3}= h+2/2\\ 2\sqrt{3} = h+2\\ 2(\sqrt{3}-1)=h$