Trigonometric Equations Question 183
Question: A balloon is coming down at the rate of 4 m/min. and its angle of elevation is 45o from a point on the ground which has been reduced to 30o after 10 minutes. Balloon will be on the ground at a distance of how many meters from the observer
Options:
A) $ 20,\sqrt{3},m $
B) $ 20,(3+\sqrt{3}),m $
C) $ 10,(3+\sqrt{3}),m $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- $ B_1B_2=h=(d\tan 45^{o}-d\tan 30^{o}) $ Time taken = 10 min Rate = $ 4=\frac{d}{10}( \frac{\sqrt{3}-1}{\sqrt{3}} ) $
$ \Rightarrow $ $ d=\frac{40\sqrt{3}}{\sqrt{3}-1}=20(3+\sqrt{3}),m $ .
BETA
