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) \[\frac{2h\tan q}{\tan q-\tan p}\]
Correct Answer: B
Solution :
[b] |
Let height of hill = H |
& horizontal distance between building & hill = d |
\[\tan q=\frac{H}{d}\Rightarrow d=\frac{H}{\tan q}=H\cot q\] |
\[\tan p=\frac{(H-h)}{d}\Rightarrow d=(H-h)cot\,\,p\] |
\[\Rightarrow H\cot q=(H-h)cot\,\,p\] |
\[H=\frac{h\,\,\cot p}{\cot \,\,p-cot\,\,q}\] |
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