Chapter Exam

Chapter 9: Some Application Trigonometry — Online MCQ Test

Q: The angle of elevation is the angle between the line of sight and the horizontal line when the object is:

Answer: A. above the horizontal level — Angle of elevation is formed when an observer looks upward from the horizontal line towards an object.

Q: The angle of depression is measured from the horizontal line when the observer looks:

Answer: B. downward — Angle of depression is formed when the line of sight is below the horizontal line.

Q: A tower is 30 m high and its top is observed from a point 30√3 m away from its base. The angle of elevation is:

Answer: A. 30° — tan θ = 30/(30√3) = 1/√3, so θ = 30°.

Q: The angle of elevation of the top of a tower from a point on the ground is 30°. On moving 20 m closer to the tower, the angle of elevation becomes 60°. The height of the tower is:

Answer: B. 10√3 m — Let the nearer distance be x. Then h = x√3 and h = (x + 20)/√3, so 3x = x + 20 and x = 10. Hence h = 10√3 m.

Q: A tower stands on the bank of a river. From a point on the opposite bank, the angle of elevation of the top of the tower is 60°. On moving 20 m away from the bank, the angle becomes 30°. The width of the river is:

Answer: A. 10 m — Let the river width be w. Then h = w√3 and h = (w + 20)/√3, so 3w = w + 20 and w = 10 m.

MATHS · Grade 10 · CBSE(NCERT)

Practice Chapter 9: Some Application Trigonometry with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 10 MATHS. This chapter covers: This practical chapter transitions students from abstract formulas to real-world problem-solving by using right-angled triangles to calculate the heights and distances of inaccessi.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 9: Some Application Trigonometry — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 10 MATHS — Chapter 9: Some Application Trigonometry, with answers and explanations. These are sample questions; the exam has its own separate question set.

The angle of elevation is the angle between the line of sight and the horizontal line when the object is:

A. above the horizontal level ✓
B. below the horizontal level
C. on the same horizontal level
D. behind the observer

Answer: A. above the horizontal level
Angle of elevation is formed when an observer looks upward from the horizontal line towards an object.

The angle of depression is measured from the horizontal line when the observer looks:

A. upward
B. downward ✓
C. straight ahead only
D. vertically upward

Answer: B. downward
Angle of depression is formed when the line of sight is below the horizontal line.

A tower is 30 m high and its top is observed from a point 30√3 m away from its base. The angle of elevation is:

A. 30° ✓
B. 45°
C. 60°
D. 90°

Answer: A. 30°
tan θ = 30/(30√3) = 1/√3, so θ = 30°.

The angle of elevation of the top of a tower from a point on the ground is 30°. On moving 20 m closer to the tower, the angle of elevation becomes 60°. The height of the tower is:

A. 10 m
B. 10√3 m ✓
C. 20√3 m
D. 30 m

Answer: B. 10√3 m
Let the nearer distance be x. Then h = x√3 and h = (x + 20)/√3, so 3x = x + 20 and x = 10. Hence h = 10√3 m.

A tower stands on the bank of a river. From a point on the opposite bank, the angle of elevation of the top of the tower is 60°. On moving 20 m away from the bank, the angle becomes 30°. The width of the river is: