HSBC Trigonometry Questions and Answers Quiz-1

If a ladder is 10 m long and the distance between the bottom of the ladder and wall is 6 m. What is the maximum size of the cube that can be placed between the ladder and the wall?

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The heights of the tower is:

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is

Find the Value of tan60^o + tan120^o?

From a point P on a level ground, the angle of elevation of the top of a tower is 30 degrees. If the tower is 100 m high, the distance of point P from the foot of the tower is:

The least value of 2sin²θ + 3cos²θ

If tan (x+y) tan (x-y) = 1, then find tan (2x/3)?

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?