Trigonometric Equations Question 238
Question: If a flagstaff of 6 metres high placed on the top of a tower throws a shadow of $ 2\sqrt{3},metres $ along the ground, then the angle (in degrees) that the sun makes with the ground is
[EAMCET 1990]
Options:
A) $ 60^{o} $
B) $ 80^{o} $
C) $ 75^{o} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- Accordingly, $ \tan \theta =\frac{h}{x}=\frac{h+6}{x+2\sqrt{3}}=\frac{6}{2\sqrt{3}}\Rightarrow \theta =60^{o} $ [Since the triangles $ 60-x=\sqrt{3}(\sqrt{3}x) $ and $ \frac{60}{4}=x\Rightarrow x=15 $ are similar].
BETA
