Question

Find, to the nearest integer, the number of feet in the length

of a shadow cast on level ground by a 15-foot vertical pole


when the angle of elevation of the sun is 53°.



A 11


B 9


C 10


D 12

Answer 1

Length of shadow on the ground = 11 ft (Approx)

Explanation:

Given:

Height of pole = 15 ft

Angle of elevation of the sun = 53°

Find:

Length of shadow on the ground = ?

Computation:

⇒ Tan A = Height / Base

⇒ Tan A = Height of pole / Length of shadow on the ground

⇒ Tan 53° = Height of pole / Length of shadow on the ground

⇒ Tan 53° = Height of pole / Length of shadow on the ground

⇒ 1.327 = 15 / Length of shadow on the ground

⇒ Length of shadow on the ground = 15 ft / 1.327

⇒ Length of shadow on the ground = 11.3 ft

Length of shadow on the ground = 11 ft (Approx)