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Question (1)

QN0036871

1. In a right-angled triangle, the side opposite the right angle is called the:

(A) Base
(B) Perpendicular
(C) Hypotenuse
(D) Altitude

Correct Answer: C

Explanation:

The side opposite the right angle is the hypotenuse.

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Question (2)

QN0036872

2. The line segment joining the observer's eye to the point being observed is called:

(A) Horizontal line
(B) Line of sight
(C) Vertical line
(D) Transversal

Correct Answer: B

Explanation:

The line joining the observer's eye and the object being viewed is called the line of sight.

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Question (3)

QN0036873

3. When an object is above the horizontal level of an observer's eye, the angle formed by the line of sight with the horizontal is called:

(A) Angle of depression
(B) Right angle
(C) Angle of elevation
(D) Complementary angle

Correct Answer: C

Explanation:

The angle between the horizontal line and the line of sight when the object is above the observer is the angle of elevation.

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Question (4)

QN0036874

4. When an object is below the horizontal level of an observer's eye, the angle formed by the line of sight with the horizontal is called:

(A) Angle of elevation
(B) Angle of depression
(C) Angle of reflection
(D) Angle of incidence

Correct Answer: B

Explanation:

The angle between the horizontal and the downward line of sight is called the angle of depression.

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Question (5)

QN0036875

5. In a right triangle representing the height and distance of a vertical object, which trigonometric ratio directly relates height and horizontal distance?

(A) sin θ
(B) cos θ
(C) tan θ
(D) sec θ

Correct Answer: C

Explanation:

tan θ = Perpendicular/Base = Height/Horizontal distance.

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Question (6)

QN0036876

6. A tower is 20 m high. If the angle of elevation of its top from a point on the ground is 45°, the distance of the point from the tower is:

(A) 10 m
(B) 20 m
(C) 20√3 m
(D) 40 m

Correct Answer: B

Explanation:

tan 45° = 20/d, so d = 20 m.

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Question (7)

QN0036877

7. A vertical pole is 12 m high. If the angle of elevation of its top is 30°, the horizontal distance of the observer from the pole is:

(A) 12 m
(B) 12√3 m
(C) 6√3 m
(D) 24 m

Correct Answer: B

Explanation:

tan 30° = 12/d. Thus d = 12√3 m.

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Question (8)

QN0036878

8. A tower is 15 m high and its top is observed at an angle of elevation of 60°. The distance of the observer from the tower is:

(A) 15 m
(B) 15√3 m
(C) 5√3 m
(D) 5 m

Correct Answer: C

Explanation:

tan 60° = 15/d, so d = 15/√3 = 5√3 m.

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Question (9)

QN0036879

9. A 10 m high pole subtends an angle of elevation of 45° at a point on the ground. The distance of the point from the pole is:

(A) 5 m
(B) 10 m
(C) 10√3 m
(D) 20 m

Correct Answer: B

Explanation:

tan 45° = 10/d, hence d = 10 m.

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Question (10)

QN0036880

10. An observer's eye is 1.5 m above the ground. The observer is 20 m from a tower and sees its top at an elevation of 45°. The height of the tower is:

(A) 20 m
(B) 21.5 m
(C) 18.5 m
(D) 22 m

Correct Answer: B

Explanation:

Height above eye level = 20 tan 45° = 20 m. Therefore, tower height = 20 + 1.5 = 21.5 m.

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Question (1)

1. In a right-angled triangle, the side opposite the right angle is called the:

Explanation:

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Question (2)

2. The line segment joining the observer's eye to the point being observed is called:

Explanation:

Link:

Question (3)

3. When an object is above the horizontal level of an observer's eye, the angle formed by the line of sight with the horizontal is called:

Explanation:

Link:

Question (4)

4. When an object is below the horizontal level of an observer's eye, the angle formed by the line of sight with the horizontal is called:

Explanation:

Link:

Question (5)

5. In a right triangle representing the height and distance of a vertical object, which trigonometric ratio directly relates height and horizontal distance?

Explanation:

Link:

Question (6)

6. A tower is 20 m high. If the angle of elevation of its top from a point on the ground is 45°, the distance of the point from the tower is:

Explanation:

Link:

Question (7)

7. A vertical pole is 12 m high. If the angle of elevation of its top is 30°, the horizontal distance of the observer from the pole is:

Explanation:

Link:

Question (8)

8. A tower is 15 m high and its top is observed at an angle of elevation of 60°. The distance of the observer from the tower is:

Explanation:

Link:

Question (9)

9. A 10 m high pole subtends an angle of elevation of 45° at a point on the ground. The distance of the point from the pole is:

Explanation:

Link:

Question (10)

10. An observer's eye is 1.5 m above the ground. The observer is 20 m from a tower and sees its top at an elevation of 45°. The height of the tower is:

Explanation:

Link:

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