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Some Applications of Trigonometry — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Some Applications of Trigonometry MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
The line joining the eye of the observer to the object is called the:
A. horizontal
B. line of sight ✓ Correct
C. vertical
D. base
Solution: That is the line of sight.
Q2 — easy
If the angle of elevation is 45°, the height and the horizontal distance are:
A. unequal
B. equal ✓ Correct
C. in ratio 2:1
D. in ratio 1:2
Solution: tan 45° = 1, so height = distance.
Q3 — easy
Angles of elevation and depression are always measured from the:
A. vertical
B. horizontal ✓ Correct
C. object
D. ground only
Solution: They are measured from the horizontal.
Q4 — hard
From the top of a 50 m building the angle of depression of a car is 45°. The car is:
A. 25 m away
B. 50 m away ✓ Correct
C. 50√3 m away
D. 100 m away
Solution: tan 45° = 50/d → d = 50 m.
Q5 — hard
If the shadow of a tower is √3 times its height, the Sun's elevation is:
A. 30° ✓ Correct
B. 45°
C. 60°
D. 90°
Solution: tan θ = 1/√3 → θ = 30°.
Q6 — hard
Two poles of equal height stand on either side of a road 80 m wide. From the midpoint the elevation is 60°. Each pole is:
A. 40 m
B. 40√3 m ✓ Correct
C. 80 m
D. 80√3 m
Solution: tan 60° = h/40 → h = 40√3 m.
Q7 — medium
A ladder makes an angle of 60° with the ground and reaches a window 6 m high. Its length is:
A. 4√3 m ✓ Correct
B. 6√3 m
C. 12/√3 m
D. 12 m
Solution: sin 60° = 6/L → L = 12/√3 = 4√3 m.
Q8 — medium
If the angle of elevation of the top of a tower doubles as an observer walks closer, the height:
A. also doubles
B. stays the same ✓ Correct
C. halves
D. becomes zero
Solution: The tower height does not change.
Q9 — medium
From a point 20 m from a tower, the angle of elevation is 60°. The tower height is:
A. 20 m
B. 20√3 m ✓ Correct
C. 20/√3 m
D. 40 m
Solution: tan 60° = h/20 → h = 20√3.