MCQ Questions | Class 10 Maths Chapter 9 | Some Applications of Trigonometry with Answers

MCQ | Some Applications of Trigonometry Class 10 | Sat A

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Some Applications of Trigonometry Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Objective Question | NCERT Maths Class 10

NCERT Solutions Class 10 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	10th
Subject:	Maths
Chapter:	9
Chapters Name:	Some Applications of Trigonometry
Medium:	English

Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Some Applications of Trigonometry | Class 10 Maths | NCERT Solutions

Q1.	The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is
	A. √3 m
	B. 2√3 m
	C. 5√3m
	D. 10√3 m

Ans: 1√3 m

Q2.	A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is
	A. 6√3 m
	B. 4√3 m
	C. 3√3 m
	D. 2√3 m

Ans: 6√3 m

Q3.	The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is
	A. 10√33 m
	B. 5√33 m
	C. √3 m
	D. √3/5 m

Ans: 5√33 m

Q4.	The angles of elevation of the top of a rock from the top and foot of 100 m high tower are respectively 30° and 45°. The height of the rock is
	A. 50 m
	B. 150 m
	C. 5o√3m
	D. 50(3 + √3)

Ans: 5(3 + √3)

Q5.	The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, the length of the wire is
	A. 6 m
	B. 10 m
	C. 12 m
	D. 20 m

Ans: 12 m

Q6.	The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30°. The distance of the car from the base of the tower (in m) is:
	A. 25√3
	B. 50√3
	C. 75√3
	D. 150

Ans: 75√3

Q7.	The line drawn from the eye of an observer to the point in the object viewed by the observer is known as
	A. horizontal line
	B. vertical line
	C. line of sight
	D. transversal line

Ans: line of sight

Q8.	The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is
	A. 8 m
	B. 10 m
	C. 12 m
	D. 14 m

Ans: 12 m

Q9.	nbsp;In given Fig., the angle of depression from the observing position D and E of the object at A are
	A. 60°, 60°
	B. 30°, 30°
	C. 30°, 60°
	D. 60°, 30°

Ans: 30°, 60°

Q10.	The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is
	A. 30°
	B. 45°
	C. 60°
	D. 90°

Ans: 45°

Q11.	The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.
	A. line of sight
	B. angle of elevation
	C. angle of depression
	D. none of these

Ans: angle of depression

Q12.	An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is
	A. 30°
	B. 45°
	C. 60°
	D. none of these

Ans: 45°

Q13.	When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?
	A. 35 m
	B. 140 m
	C. 60.6 m
	D. 20.2 m

Ans: 60.6 m

Q14.	A tower stands vertically on the ground. From a point on the ground 30 m away from the foot of the tower, the angle of elevation of the top of the tower is 45o. The height of the tower will be
	A. 30√3 m
	B. 40√3 m
	C. 30 m
	D. 40 m

Ans: 30 m

Q15.	From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100m high, the distance between P and the foot of the tower is
	A. 100√3m
	B. 200√3m
	C. 300√3m
	D. 150√3m

Ans: 100√3m

Q16.	The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:
	A. 45°
	B. 60°
	C. 30°
	D. None of these

Ans: 45°

Q17.	When the length of shadow of a vertical pole is equal to √3 times of its height, the angle of elevation of the Sun’s altitude is
	A. 30°
	B. 45°
	C. 60°
	D. 15°

Ans: 30°

Q18.	If the angle of depression of an object from a 75m high tower is 30°, then the distance of the object from the tower is
	A. 50√3m
	B. 25√3m
	C. 75√3m
	D. 100√3m

Ans: 75√3m

Q19.	If two towers of heights h₁ and h₂ subtend angles of 60° and 30° respectively at the mid-point of the line joining their feet, then h₁ : h₂ =
	A. 1 : 2
	B. 1 : 3
	C. 2 : 1
	D. 3 : 1

Ans: 3 : 1

Q20.	The angle of elevation of the top of a tower from a point 20 metres away from its base is 45°. The height of the tower is
	A. 10 m
	B. 20 m
	C. 30 m
	D. 20√3 m

Ans: 2 m

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

MCQ Questions | Class 10 Maths Chapter 9

MCQ Questions | Class 10 Maths Chapter 9 | Some Applications of Trigonometry with Answers

MCQ | Some Applications of Trigonometry Class 10 | Sat A

Objective Question | NCERT Maths Class 10

Ncert Solutions for Class 10 Maths | Objective Type Questions

Some Applications of Trigonometry | Class 10 Maths | NCERT Solutions

CBSE Solutions | Ncert Solutions Maths Class 10

NCERT Solutions | 10th Maths Guide

NCERT | Class 10 Maths Solution

Ncert Solutions for Class 10 Maths

Ncert Solutions for Class 10 Maths Chapter 1

Ncert Solutions for Class 10 Maths Chapter 2

Ncert Solutions for Class 10 Maths Chapter 3

Ncert Solutions for Class 10 Maths Chapter 4

Ncert Solutions for Class 10 Maths Chapter 5

Ncert Solutions for Class 10 Maths Chapter 6

Ncert Solutions for Class 10 Maths Chapter 7

Ncert Solutions for Class 10 Maths Chapter 8

Ncert Solutions for Class 10 Maths Chapter 9

Ncert Solutions for Class 10 Maths Chapter 10

Ncert Solutions for Class 10 Maths Chapter 11

Ncert Solutions for Class 10 Maths Chapter 12

Ncert Solutions for Class 10 Maths Chapter 13

Ncert Solutions for Class 10 Maths Chapter 14

Ncert Solutions for Class 10 Maths Chapter 15

NCERT SOLUTIONS

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