Question

From top of plateform 7m hight the angle of elevation was 30 degree .If platform position 50 root3 away from tower .How tall will tower

Answer 1

AB = height of platform = 7 m

from the diagram

CD = AB = 7 m

AD = distance between tower and platform = 50 sqrt(3)

In triangle ADE

tan30 = DE/AD

DE = (AD) tan30

DE = (50 sqrt(3) ) (1/sqrt(3))

DE = 50 m

H = height of the tower

height of tower is given as

H = CD + DE

H = 7 + 50

H = 57 m