2. Multiple choice questions II

1. The angle of elevation of a cloud from a point '\(h\)' meters above a lake is \(\beta\). The angle of depression of its reflection in the lake is \(45^\circ\). The height of location of the cloud from the lake is:

 

2. Two persons are standing '\(x\)' meres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person(in metres) is