The angles of elevation of the top of a tower from two places situated at distances 21 m and x ~m from the base of the tower are 45^ and 60^ respectively. What is the value of x ?

Step-by-step solution

Let A B is a tower, Given that AC =21 ~m and AD =x ~m From ABC , (45^ )= AB AC 1= AB 21 A B=21 ~m Again, from ABD , aligned (60^ ) & = AB AD 3 = 21 x x & =7 3 ~m aligned