Rishu is riding in a hot air balloon. After reaching a point P, he spots a car parked at Bon the ground at an angle of depression of `30^@`. The balloon rises further by 50 metres and now he spots the same car at an angle of depression of `45^(@)` and a lorry parked at B' at an angle of depression of `30^@`. (Use `sqrt3` = 1.73)

The measurement of Rishu facing vertically is the height. Distance is defined as the measurement of car/lorry from a point in a horizontal direction. If an imaginary line is drawn from the observation point to the top edge of the car/lorry, a triangle is formed by the vertical, horizontal and imaginary line.

The height of the balloon at point P' and distance AB are related as:

Options

A. h=x+50
B. x=h+50
C. h=50-x
D. x=50h

Answer

B