Shadow of a man is $$\frac{1}{{\sqrt 3 }}$$ times the height of the man. What will be the sun’s angle of elevation?
a) 135°
b) 45°
c) 30°
d) 60°
Answer: d
Explanation: Shadow length = $$\frac{1}{{\sqrt 3 }}$$ Height of man
$$\eqalign{
& \frac{{{\text{Height}}\,{\text{of}}\,{\text{man}}}}{{{\text{Shadow}}\,{\text{length}}}} = \sqrt 3 \cr
& \tan \theta = \frac{{{\text{Height}}\,{\text{of}}\,{\text{man}}}}{{{\text{Shadow}}\,{\text{length}}}} = \sqrt 3 \cr
& {\text{But}}\,\tan {60^ \circ } = \sqrt 3 \cr} $$
$$\theta $$ = 60° = Angle of elevation of sum
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