Test Details

Height & Distance

Solve it.

Jan 20, 7:30 PM

45 minutes

Jan 20, 8:30 PM

40.0 marks

MCQ

21 questions

S.Chandra Kumar

None

Class Details

Maths

Class: 10th

Maths

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Question Text

Question 1 :
If the length of the shadow of a tree is decreasing then the angle of elevation is:

Question 2 :
The angle of elevation of the top of a building from a point on the ground, which is 30 m away from the foot of the building, is 30°. The height of the building is:

Question 3 :
If a tower 6m high casts a shadow of 2√3 m long on the ground, then the sun’s elevation is:

Question 4 :
The angle of elevation of the top of a building 30 m high from the foot of another building in the same plane is 60°, and also the angle of elevation of the top of the second tower from the foot of the first tower is 30°, then the distance between the two buildings is:

Question 5 :
The angle formed by the line of sight with the horizontal when the point is below the horizontal level is called:

Question 6 :
From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. The height of the tower (in m) standing straight is:

Question 7 :
The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be

Question 8 :
When the shadow of a pole h metres high is √3h metres long, the angle of elevation of the Sun is

Question 9 :
A ladder makes an angle of 60° with the ground, when placed along a wall. If the foot of ladder is 8 m away from the wall, the length of ladder is (a) 4 m (b) 8 m (c) 8√3 m (d) 16 m

Question 10 :
The angle of depression of an object on the ground, from the top of a 25 m high tower is 30°. The distance of the object from the base of tower is

Question 11 :
The shadow of a tower standing on level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it was 60°. The height of the tower is

Question 12 :
If the angles of elevation of the top of a tower from two points at the distance of a m and b m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is

Question 13 :
From a point on a bridge across a river the angle of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at the height of 30 m from the banks, the width of the river is

Question 14 :
The ratio of the height of a tower and the length of its shadow on the ground is √3 : 1. The angle of elevation of the Sun is

Question 15 :
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 8 m. The height of the tree is

Question 16 :
The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will be

Question 18 :
An 18 feet high electric pole is located along a 6 feet tall tree at a distance of 10 feet from. What will be the length of the tree's shadow? A. 10 feet B. 7.5 feet C. 6 feet D. 5 feet

Question 19 :
An 18 feet high electric pole is located along a 6 feet tall tree at a distance of 10 feet from. What will be the length of the tree's shadow?

Question 20 :
A pole got broken by the wind whose top meets the ground at an angle of 30° at a distance of 90 meters from the foot. What was the total height of the pole?

Question 21 :
A woman is standing 30 m away from her house. An angle of elevation from the top of her is 30° towards the top of house and angle of elevation from her foot is 60° towards the top of the house. Find the total height of the house and woman.

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