Question

If the answer shadow of a plane pole is root3 times of its height, find the the angle of elevation of the sun.

Answer 1

Answer:

ϴ = 30 °

Step-by-step explanation:

Let the height of the pole ( AB) = h .

Length of the shadow (BC ) = √3h

Let ϴ denotes the angle of elevation of the Sun.

In ∆ ABC , tan ϴ = perpendicular/base

tan ϴ = AB /BC

tan ϴ = h / √3 h

tan ϴ = 1/√3

tan ϴ = tan 30°

ϴ = 30 °

Hence , the angle of elevation

of the Sun is 30 °.

Answer 2

SOLUTION

Let the height of the pole AB = h =x m

Length of the shadow AC = √3x m

Let the angle of elevation be Angle ACB

=) theta.

In ∆ABC

=) tan theta = AB/AC

=) tan theta = x/√3x

=) tan theta = 30°

hope it helps ✔️