A) 50
B) 45
C) 60
D) 42
Correct Answer: A
Solution :
In \[\Delta PAB,\]\[\tan {{30}^{o}}=\frac{x}{y}\Rightarrow y=\sqrt{3}x\] ?(i) In\[\Delta PBC,\]\[\tan {{60}^{o}}=\frac{25+x+25}{y}\] \[\Rightarrow \]\[\sqrt{3}y=50+x\]\[\Rightarrow \]\[3x=50+x\][Using (i)] \[\Rightarrow \]\[x=25\] \[\therefore \]Height of cloud from the surface of the lake\[=25+25=50\text{ }m\]You need to login to perform this action.
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