Correct Answer: C
Explanation:
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 = = 1
or ∠BCA = 45°
since we know that tanθ is 1 whenever θ = 45°.