Trigonometric Equations Question 127
Question: The angular depressions of the top and the foot of a chimney as seen from the top of a second chimney, which is 150 m high and standing on the same level as the first are $ \theta $ and $ \varphi $ respectively, then the distance between their tops when $ \tan \theta =\frac{4}{3} $ and $ \tan \varphi =\frac{5}{2} $ , is
[Pb. CET 2004; IIT 1965]
Options:
A) $ \frac{150}{\sqrt{3}}metres $
B) $ 100\sqrt{3}metres $
C) $ 150metres $
D) $ 100metres $
Show Answer
Answer:
Correct Answer: D
Solution:
- $ d=150\cot \varphi =60m $ , Also $ h=60\tan \theta =80m $ . Hence $ x=\sqrt{80^{2}+60^{2}}=100m $ .
BETA
