Question

The shadow of a tower when the angle of elevation of the sun is 30° is found to be 40 meters longer than when it is 45°. Find the height of the tower

Answer 1

the answer is 20 root 3 and it is the height of the tower

Answer 2

Answer:

Step-by-step explanation:

IN TRIANGLE ABC

TAN 45= P/B

1=H/X

H=X.................1

IN TRIANGLE ABD

TAN 30 =AB/BD

1/√3=H/40+X

H+40=√3H

H=40/√3-1

H=20(√3+1)m