Trigonometric Equations Question 167
Question: The angle of elevation of the top of a tower from the top of a house is $ 60^{o} $ and the angle of depression of its base is $ 30^{o} $ . If the horizontal distance between the house and the tower be 12 m, then the height of the tower is
Options:
A) $ 48,\sqrt{3}m $
B) $ 16,\sqrt{3}m $
C) $ 24,\sqrt{3}m $
D) $ 16/,\sqrt{3}m $
Show Answer
Answer:
Correct Answer: B
Solution:
- $ h=12\tan 30^{o}=\frac{12}{\sqrt{3}} $ and $ H=12\tan 60^{o}+\frac{12}{\sqrt{3}} $ = $ 12\sqrt{3}+\frac{12}{\sqrt{3}}=16\sqrt{3}m $ .
BETA
