A) \[h\,\,\cot x+h\]
B) \[h\,\cot x-h\]
C) \[h\tan x-h\]
D) \[h\tan x+h\]
Correct Answer: B
Solution :
[b] Let the height of chimney by H m. In \[\Delta \Alpha \Beta C,\] \[\Rightarrow \] \[\tan 45{}^\circ =\frac{H+h}{AB}\] \[1=\frac{H+h}{AB}\] \[\therefore \] \[AB=H+h\] and in \[\Delta \Alpha \Beta D,\] \[\tan x=\frac{h}{AB}\] \[\therefore \] \[AB=h\cot x\] On solving the Eqs. (i) and (ii), we get \[H=h\cot x-h\] |
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