A) \[\frac{100\,\,\cot \,\alpha }{\cot \alpha -\cot \beta }\]
B) \[\frac{100\,\,\cot \beta }{\cot \,\alpha -\cot \,\beta }\]
C) \[\frac{100\,\,\cot \beta }{\cot \beta -\cot \alpha }\]
D) \[\frac{100\,\,\cot \beta }{\cot \beta +\cot \alpha }\]
Correct Answer: C
Solution :
If\[OP=h\], then \[CP=h-100\] Now equate the values of \[OA\] and\[BC\]. \[h\cot \alpha =(h-100)\,\cot \beta \] \[\therefore \] \[h=\frac{100\cot \beta }{\cot \beta -\cot \alpha }\]You need to login to perform this action.
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