Chapter 9 · Class 10 CBSE · Worksheet

Some Applications of Trigonometry Worksheet — Class 10 CBSE Maths

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Sample Questions — Some Applications of Trigonometry

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements correctly defines the angle of elevation?

A.The angle formed by the line of sight with the vertical line, when the object is above the horizontal level.
B.The angle formed by the line of sight with the horizontal line, when the object is above the horizontal level.
C.The angle formed by the line of sight with the horizontal line, when the object is below the horizontal level.
D.The angle formed between the observer's eye and the top of the object.

Difficulty: Easy

Q2.A person standing on a 50 m high cliff observes a boat in the sea. The angle of depression of the boat is formed by the line of sight and:

A.the vertical line from the observer's eye to the sea.
B.the horizontal line above the line of sight.
C.the line connecting the base of the cliff to the boat.
D.the horizontal line at the level of the sea.

Difficulty: Easy

Q3.A boy is standing on the ground and looking at the top of a 10-meter tall tree. His eye level is 1.5 m above the ground. If the angle of elevation of the top of the tree from his eye is 45°, what is the horizontal distance between the boy and the tree?

A.10 m
B.8.5 m
C.11.5 m
D.1.5 m

Difficulty: Easy

Q4.Ravi is trying to find the height of a building. He is standing at a point A on the ground and observes the top of a building at point B. He incorrectly draws the angle of depression from B to A as the angle between the line BA and the vertical line passing through B. What is the correct way to represent the angle of depression from B to A (assuming A is on the ground, B is the top of the building)?

A.The angle between the line BA and the line segment AC, where C is the foot of the building.
B.The angle between the horizontal line through B and the line of sight BA.
C.The angle between the line BA and the line segment BC, where C is the foot of the building.
D.The angle at point A formed by the line BA and the horizontal ground.

Difficulty: Easy

Q5.The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. The height of the tower is:

A.30√3 m
B.10√3 m
C.30 m
D.15 m

Difficulty: Easy

Q6.A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, what is the height of the wall?

A.15√3 m
B.15/√2 m
C.7.5 m
D.15 m

Difficulty: Easy

Q7.An observer is standing at a certain distance from a pole. If the observer moves further away from the pole, what happens to the angle of elevation of the top of the pole from the observer's eye?

A.It increases.
B.It decreases.
C.It remains the same.
D.It first increases then decreases.

Difficulty: Easy

Q8.A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Assuming there is no slack in the string, the length of the string is:

A.60√3 m
B.30√3 m
C.40√3 m
D.120 m

Difficulty: Easy

Answer Key — Sample Questions+
Q1:The angle formed by the line of sight with the horizontal line, when the object is above the horizontal level.
Q2:the horizontal line above the line of sight.
Q3:8.5 m
Q4:The angle between the horizontal line through B and the line of sight BA.
Q5:10√3 m
Q6:7.5 m
Q7:It decreases.
Q8:40√3 m

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About This Worksheet

TopicSome Applications of Trigonometry
BoardCBSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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