Triangles And Properties Of Triangle Question 10
Question: The angles of elevation of a stationary cloud from la point 2500 m above a lake is $ 15{}^\circ $ and the angle of depression of its reflection in the take is $ 45{}^\circ $ . The height of cloud above the lake level is
Options:
A) $ 2500\sqrt{3} $ meters
B) $ 2500 $ meters
C) $ 500\sqrt{3} $ meters
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ (H-h)cot15{}^\circ =(H+h)cot45{}^\circ $ or $ H=\frac{h(cot15{}^\circ +1)}{(cot15{}^\circ -1)} $ Since $ h=2500 $ and substitute $ \cot 15{}^\circ =2+\sqrt{3}, $ we get $ H=2500\sqrt{3} $
BETA
