CBSE Class 10 Mathematics Chapter 9 Some Applications of Trigonometry Multiple Choice Questions with Answers. MCQ Class 10 Maths Some Applications of Trigonometry with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Some Applications of Trigonometry MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 1
Question 1:
The height or length of an object or the distance between two distant objects can be determined with the help of:
(a)Trigonometry angles
(b)Trigonometry ratios
(c)Trigonometry identities
(d)None of the above
Correct Answer – (B)
Question 2 :
From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. The height of the tower standing straight is:
(a)15√3
(b)10√3
(c)12√3
(d)20√3
Correct Answer – (A)
Explanation: We know:
Tan (angle of elevation) = height of tower/its distance from the point
Tan 60 = h/15
√3 = h/15
h=15√3
Question 3 :
The angle formed by the line of sight with the horizontal when the point is below the horizontal level is called:
(a)Angle of elevation
(b)Angle of depression
(c)No such angle is formed
(d)None of the above
Correct Answer – (B)
Question 4 :
If a tower 6m high casts a shadow of 2√3 m long on the ground, then the sun’s elevation is:
(a)60°
(b)45°
(c)30°
(d)90°
Correct Answer – (A)
tan θ = 6/2√3
tan θ = √3
tan θ = tan60°
θ = 60°
Question 5 :
The angle of elevation of the top of a building from a point on the ground, which is 30 m away from the foot of the building, is 30°. The height of the building is:
(a)10 m
(b)30/√3 m
(c)√3/10 m
(d)30 m
Correct Answer – (B)
Explanation: Say x is the height of the building.
a is a point 30 m away from the foot of the building.
Here, height is the perpendicular and distance between point a and foot of building is the base.
The angle of elevation formed is 30.
Hence, tan 30 = perpendicular/base = x/30
1/√3 = x/30
x=30/√3
Question 6 :
The line drawn from the eye of an observer to the point in the object viewed by the observer is said to be
(a)Angle of elevation
(b)Angle of depression
(c)Line of sight
(d)None of the above
Correct Answer – (C)
Question 7 :
The angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level is called:
(a)Angle of elevation
(b)Angle of depression
(c)No such angle is formed
(d)None of the above
Correct Answer – (A)
Question 8 :
The angle of elevation of the top of a building 30 m high from the foot of another building in the same plane is 60°, and also the angle of elevation of the top of the second tower from the foot of the first tower is 30°, then the distance between the two buildings is:
(a)10√3 m
(b)15√3 m
(c)12√3 m
(d)36 m
Correct Answer – (A)
tan60° = 30/x
√3 = 30/x
x = 30/√3
x = 10√3m
Question 9 :
If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building:
(a)Increases
(b)Decreases
(c)Do not change
(d)None of the above
Correct Answer – (C)
Explanation: We know, for an angle of elevation θ,
Tan θ = Height of building/Distance from the point
If we increase both the value of the angle of elevation remains unchanged.
Question 10 :
If the length of the shadow of a tree is decreasing then the angle of elevation is:
(a)Increasing
(b)Decreasing
(c)Remains the same
(d)None of the above
