1.

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of x meter and x + 12 meter from the base of tower are 60° and 30° respectively. The value of x is1). 32). 63). 94). 12

Answer»

According to the situation,

Let the Height of the tower be h

tan 60° = h/x----(1)

h = x√3----(2)

tan 30° = h/(x + 12)----(3)

h = (x + 12)/√3----(4)

From (2) and (4)

x√3 = (x + 12) /√3

3x = x + 12

2x = 12

x = 6


Discussion

No Comment Found