Question

11. The height of a tower is 100 m. When the angle of elevation of the sun changes from
30° to 45°, the shadow of the tower becomes x metres less. The value of x is ​

Answer 1

Step-by-step explanation:

Let the length BD=y

in the triangle ABD

tan 45°=100/y

or 100/y=1

or y=100

therefore length BD=100

in the triangle ABC

tan 30°=100/(100+x)

or 100/(100+x)=1/√3

or (100+x)/100=√3

or x=100√3-100

=100(√3-1)