Trigonometric Equations Question 162

Question: If the angles of elevation of two towers from the middle point of the line joining their feet be $ 60^{o} $ and $ 30^{o} $ respectively, then the ratio of their heights is

[EAMCET 1987]

Options:

A) 2 : 1

B) $ 1:\sqrt{2} $

C) 3 : 1

D) $ 1:\sqrt{3} $

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Answer:

Correct Answer: C

Solution:

  • $ H_1=d\tan 60^{o}, $ $ H_2=d\tan 30^{o} $ $ \frac{H_1}{H_2}=\frac{\tan 60^{o}}{\tan 30^{o}}=\frac{3}{1} $ .