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Subject - Mathematics:

Height and Distance

MCQ - 465-9197

Question:

If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is

  1. 30°
  2. 45°
  3. 30°

Correct Answer: C

Explanation:

12 -53621096

In the figure let AB be the pole and BC is its shadow. Join A and C. We get a right-angled triangle ∆ABC. The angle of elevation of the sun is ∠ACB. Given that, AB = BC. We use trigonometric ratio tan taking AB as height and BC as a base to find the angle ∠BCA.
In ∆ABC,
tan∠ACB = AB BC = 1
or ∠BCA = 45°
since we know that tanθ is 1 whenever θ = 45°.

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