The shadow of a tower is found to be x metre longer, when the angle of elevation of the sun changes from 60^ to 45^ . If the height of the tower is 5(3+ 3 ) m , then what is x equal to?

Step-by-step solution

Shadow length when elevation of Sun is 60^ =B C From A B C , B C=A B (60^ )=5(3+ 3 ) 1 3 =5( 3 +1) m Shadow length when elevation of Sun is 45^ =B D From A B D , B D=A B 45^ =5(3+ 3 ) 1=5(3+ 3 ) m x=B D-B C=5(3+ 3 )-5( 3 +1)=10 ~m