Question

A pole casts a shadow of length 2√3 m on the ground when the sun’s elevation is 60°. The height of the pole is (a) 4 √3 (b) 6 m (c) 12 m (d) 3 m

Answer 1

in consideration of the diagram the pole is bc

the length of the shadow is ab = 2 root 3

and angle c denotes the angle of elevation of the sun.

so as the pole is on the opposite side and the adjacent side is 2 root 3

we can take tan 60 = bc / 2 root 3

root 3 = bc / 2 root 3

when we cross multiply bc = 6m

therefore the option b is the correct answer.

byee!