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16 July, 10:01

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

+3
Answers (1)
  1. 16 July, 11:25
    0
    Length of shadow on the ground = 11 ft (Approx)

    Step-by-step 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)
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