Triangles And Properties Of Triangle Question 22
Question: From a point a meter above a lake the angle of elevation of a cloud is $ \alpha $ and the angle of depression of its reflection is $ \beta . $ The height of the cloud is
Options:
A) $ \frac{a\sin (\alpha +\beta )}{\sin (\alpha -\beta )}metre $
B) $ \frac{a\sin (\alpha +\beta )}{\sin (\beta -\alpha )}metre $
C) $ \frac{a\sin (\alpha -\beta )}{\sin (\alpha +\beta )}metre $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ (H+a)cot,b=(H-a)cot,a $ using componendo and divdendo
$ \Rightarrow H=\frac{a\sin (\alpha +\beta )}{\sin (\beta -\alpha )} $
BETA
