1. A ladder 14m long rests against a wall. If the foot of the ladder is 7m from the wall, then find the angle of elevation.
a. 20∘
b. 50∘
c. 60∘
d. 30∘
2. An electric pole is 10√(3 )m high and its shadow is 10m in length, then Find the angle of elevation of the sun.
a. 20°
b. 60°
c. 120°
d. 180°
3. A kite is flying at a height of 60m from the level ground, attached to a string inclined at 30° to the horizontal. Find the length of the string.
a. 130 m
b. 150 m
c. 180 m
d. 120 m
4. 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 find the height of the pole.
a. 20 m
b. 10 m
c. 50 m
d. 30 m
5. From a point on the ground which is 15m away from the foot of a tower, the angle of elevation is found to be 60°. Find the height of the tower.
a. 15√3 m
b. 15√2 m
c. 10√3 m
d. 12√2 m
6. 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, find the distance between P and the foot of the tower.
a. 10√3meters
b. 50√3meters
c. 30√3meters
d. 100√3meters
7. The ___________ of an object can be determined with the help of trigonometric ratios.
a. Weight
b. Shape
c. Height
d. none of these
8. The _____________ is the line drawn from the eye of an observer to the point in the object viewed by the observer.
a. Horizontal line
b. Line of sight
c. Vertical line
d. None of these
9. The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.
a. Angle of elevation
b. Angle of projection
c. Angle of depression
d. None of these
10. If the angle of depression of a car from a 100m high tower is 45°, then find the distance of the car from the tower.
a. 50m
b. 100m
c. 120m
d. 60m
Chapter  9 Some Applications of Trigonometry Quiz1  Math Class 10th
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Question 1 of 10
1. Question
A ladder 14m long rests against a wall. If the foot of the ladder is 7m from the wall, then find the angle of elevation.
Correct
Incorrect

Question 2 of 10
2. Question
An electric pole is 10√3m high and its shadow is 10m in length, then Find the angle of elevation of the sun.
Correct
Incorrect

Question 3 of 10
3. Question
A kite is flying at a height of 60m from the level ground, attached to a string inclined at 30° to the horizontal. Find the length of the string.
Correct
Incorrect

Question 4 of 10
4. Question
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 find the height of the pole.
Correct
Incorrect

Question 5 of 10
5. Question
From a point on the ground which is 15m away from the foot of a tower, the angle of elevation is found to be 60. Find the height of the tower.
Correct
Incorrect

Question 6 of 10
6. Question
From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, find the distance between P and the foot of the tower.
Correct
Incorrect

Question 7 of 10
7. Question
The ___________ of an object can be determined with the help of trigonometric ratios.
Correct
The height of an object can be determined with the help of trigonometric ratios if angle of elevation /depression and one side is known.
Incorrect
The height of an object can be determined with the help of trigonometric ratios if angle of elevation /depression and one side is known.

Question 8 of 10
8. Question
The _____________ is the line drawn from the eye of an observer to the point in the object viewed by the observer.
Correct
The line of sight is the imaginary line drawn from the eye of an observer to the point in the object viewed by the observer.
The angle between the line of sight and the ground is called angle of elevation.
Incorrect
The line of sight is the imaginary line drawn from the eye of an observer to the point in the object viewed by the observer.
The angle between the line of sight and the ground is called angle of elevation.

Question 9 of 10
9. Question
The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.
Correct
The angle of elevation of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.
Incorrect
The angle of elevation of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.

Question 10 of 10
10. Question
If the angle of depression of a car from a 100 m high tower is 45°, then find the distance of the car from the tower.
Correct
Incorrect