A vertical pole is 75m high. Find the angle subtended by the pole a point 75 m away from its base.

30°
45°
60°
90°

Correct Answer: 45°

Explanation:

Let us draw a figure below as per given question.
Let AB = 75 m be the height of pole and C is a point on the ground such that BC = 75m
Now, from right triangle ABC.
tan ∝ = AB/BC = 75/75
⇒ tan∝ = 1
∴ ∝ = 45°

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