Chapter 9 – Some Applications of Trignometry

The tops of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

A 20 m long ladder touches the wall at a height of 10 m. The angle which the ladder makes with the horizontal is

If the length of the shadow of a tower is \sqrt{3} times that of its height, then the angle of elevation of the sun is

If sun’s elevation is 60° then a pole of height 6 m will cast a shadow of length

The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is

A contractor planned to install a slide for the children to play in a park. If he prefers to have a slide whose top is at a height of 1.5m and is inclined at an angle of 30° to the ground, then the length of the slide would be

When the length of shadow of a vertical pole is equal to \sqrt{3} times of its height, the angle of elevation of the Sun’s altitude is

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

When the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.

In given Fig., the angle of depression from the observing position D and E of the object at A are

Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?

A tower stands vertically on the ground. From a point C on the ground, which is 20 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 450. The height of the tower is

If a kite is flying at a height of 10\sqrt{3}m from the level ground attached to a string inclined at 60° to the horizontal then the length of the string is

A tower stands vertically on the ground from a point on the ground which is 25 m away from the foot of tower if the height of tower is 25\sqrt{3} metres find the angle of elevation.​

A circus artist is climbing a long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The ratio of the height of the pole to the length of the string is 1 :\sqrt{2}. The angle made by the rope with the ground level is

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 30°, then the height of the pole is

If the angle of depression of an object from a 75m high tower is 30°, then the distance of the object from the tower is

The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:

A tower stands vertically on the ground. From a point on the ground 30 m away from the foot of the tower, the angle of elevation of the top of the tower is 45o. The height of the tower will be

An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is

The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is

23. The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is

24. In given figure, the value of CE is

25. In given figure, the value of ZC is

26. In given Fig., the angle of depression from the observing position D and E of the object at A are

27. In given figure, the length of AP is

28. In given figure, the value of AE is

29. In given figure, AD = 4 cm, BD = 3 cm and CB = 12 cm. The value of tan θ is

30. In figure given ABCD is a rectangle, the value of CE is