When the elevation of the sun changes from 45 o to 30 o , the shadow of a tower increases by 60 units, then the height of the tower is

Step-by-step solution

tan ⁡ 45 o = h a ⇒ h = a tan ⁡ 30 o = h a + 60 ⇒ h = a + 60 3 ⇒ 3   h = h + 60 ⇒ h = 60 3 - 1 = 60 3 + 1 2 = 30 3 + 1 units