Question

from a point on the ground the angle of elevation to the top and bottom of a 40 m transmission tower fixed at the top of a building are 45°and 60°respectively.find the height of the building​

Answer 1

Answer:

h=20(√3-1)

Step-by-step explanation:

Let DC be the tower and BC be the building. Then,

∠CAB=45° ,∠DAB=60° ,BC=20 m

Let height of the tower, DC=h m

In right △ABC,

tan45° = BC/ AB

1=  20 /AB

AB=20 m

In right △ABD,

tan60°=BD/AB

√3=h+20/20

h=20(√3-1)