A pole casts a shadow of length 2√3 m on the ground when the sun’s elevation is 60°. The height of the pole is (a) 4 √3 (b) 6 m (c) 12 m (d) 3 m
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in consideration of the diagram the pole is bc
the length of the shadow is ab = 2 root 3
and angle c denotes the angle of elevation of the sun.
so as the pole is on the opposite side and the adjacent side is 2 root 3
we can take tan 60 = bc / 2 root 3
root 3 = bc / 2 root 3
when we cross multiply bc = 6m
therefore the option b is the correct answer.
byee!
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