Triangles And Properties Of Triangle Question 2
Question: The top of a hill when observed form the top and bottom of a building of height h is at angles of elevation p and q respectively. What is the height of the hill?
Options:
A) $ \frac{h\cot q}{\cot q-\cot p} $
B) $ \frac{h\cot p}{\cot p-\cot q} $
C) $ \frac{2h\tan p}{\tan p-\tan q} $
D) $ \frac{2h\tan q}{\tan q-\tan p} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Let height of hill = H & horizontal distance between building & hill = d $ \tan q=\frac{H}{d}\Rightarrow d=\frac{H}{\tan q}=H\cot q $ $ \tan p=\frac{(H-h)}{d}\Rightarrow d=(H-h)cotp $
$ \Rightarrow H\cot q=(H-h)cotp $ $ H=\frac{h\cot p}{\cot p-cotq} $
BETA
