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 Quiz-1 | Math Class 10th

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