CDS || Mathematical_Aptitude || Trigonometry || Height_&_Distance || Quiz

The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30^o than when it is 60^o. what is the height of the tower?

If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post?

From a certain point on a straight road, a person observes a tower in the west direction at a distance of 200 m. He walks some distance along the road and finds that the same tower is 300 m south of him. What is the shortest distance of the tower from the road?

The angles of elevation of the top of a tower from two points P and Q at distance m² and n² respectively, from the base and in the same straight line with it are complementary. The height of the tower is

The angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. The height of the cloud is

A pole is standing erect on the ground which is horizontal. The tip of the pole is tied tight with a rope of length √12 m  to a point on the ground. If the rope is making 30° with the horizontal, then the height of the pole is: