A) 60
B) 50
C) 45
D) 42
Correct Answer: B
Solution :
\[\tan 30{}^\circ =\frac{x}{y}\]\[\Rightarrow \]\[y=\sqrt{3x}\] |
\[\tan \,\,60{}^\circ =\frac{25+x+25}{y}\] |
\[\Rightarrow \] \[\sqrt{3y}=50+x\] \[\Rightarrow \]\[3x=50+x\] \[\Rightarrow \] \[x=25\text{ }m\] |
\[\therefore \] Height of cloud from surface |
\[=25+25\]\[=50\text{ }m.\] |
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