The top of a hill observed from the top and bottom of a building of height h is at angles of elevation \alpha and \beta respectively. The height of the hill is :

Correct Answer is : hcotαcotα−cotβ

\frac{h \cot \beta}{\cot \beta-\cot \alpha}

\frac{h \cot \alpha}{\cot \alpha-\cot \beta}

\frac{h \tan \alpha}{\tan \alpha-\tan \beta}

UPSC NDA 2 2012 Mathematics Paper

Question : 39 of 120

Marks: +1, -0

The top of a hill observed from the top and bottom of a building of height h is at angles of elevation α and β respectively. The height of the hill is :

‌
h‌cot‌β
cot‌β−cot‌α
‌
h‌cot‌α
cot‌α−cot‌β
‌
h‌tan‌α
tan‌α−tan‌β
None of the above

Validate

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