Refer to CBSE Class 10 Mathematics Introduction to Trigonometry MCQs Set D provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 8 Introduction to Trigonometry Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects
MCQ for Class 10 Mathematics Chapter 8 Introduction to Trigonometry
Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 8 Introduction to Trigonometry in Class 10.
Chapter 8 Introduction to Trigonometry MCQ Questions Class 10 Mathematics with Answers
Question. The _____________ is the line drawn from the eye of an observer to the point in the object viewed by the observer.
(a) Horizontal line
(b) line of sight
(c) None of these
(d) Vertical line
Answer: B
Question. A pole 10 m high cast a shadow 10 m long on the ground, then the sun’s elevation is
(a) 60°
(b) 15°
(c) 45°
(d) 30°
Answer: C
Question. Find sin3 φ + cos3 φ/sin φ + cos φ .
(a) 1 + sin – cos φ
(b) 1- sinc φ cos φ
(c) 1- sin φ tan φ
(d) 1
Answer: A
Question. lf sinθ + cosθ/sinθ – cosθ = √3 + 1/√3 – 1 find the acute angleθ .
(a) 90°
(b) 45°
(c) 30°
(d) 60°
Answer: D
Question. What is the value of θ tor which tanθ = cotθ ?
(a) 60°
(b) 45°
(c) 90°
(d) 0°
Answer: B
Question. The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is above the horizontal level.
(a) angle of projection
(b) angle of depression
(c) angle of elevation
(d) none of these
Answer: A
Question. From a point on the ground which is 15m away from the foot of a tower, the angle of elevation is found to be 60° . The height of the tower is
(a) 15√3 m
(b) 20√m
(c) 10√m
(d) 10 m
Answer: A
Question. From a point P on the level ground, the angle of elevation of the top of a tower is . If the tower is 100m high, the distance between P and the foot of the tower is
(a) 300√3 m
(b) 150√3 m
(c) 200√3 m
(d) 100√3 m
Answer: D
Question. If the height of the tower is √3 times of the length of its shadow, then the angle of elevation of the sun is
(a) 15°
(b) 30°
(c) 50°
(d) 45°
Answer: C
Question. A ramp for disabled people in a hospital must slope at not more than 30°. If the height of the ramp has to be 1 m, then the length of the ramp be
(a) 3 m
(b) 1 m
(c) 2 m
(d) √3 m
Answer: C
Question. A river is 60 m wide. A tree of unknown height is on one bank. The angle of elevation of the top of the tree from the point exactly opposite to the foot of the tree, on the other bank, is 30°. The height of the tree is
(a) 30√3 m
(b) 10√3 m
(c) 20√3 m
(d) 60√3 m
Answer: C
Question. 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 30° there at. Its height above the ground is
(a) 10 km
(b) 12 km
(c) 6 km
(d) none of these
Answer: C
Question. If the altitude of the sun is 60° , the height of a tower which casts a shadow of length 90 m is
(a) 60 m
(b) 90√3 m
(c) 90 m
(d) 60√3 m
Answer: B
Question. Find the value of 5cos α – 4 / 3 + 5sin α / 3 – 5sin α / 4 + 5cos α
(a) – 1
(b) 5
(c) 1
(d) 0
Answer: D
Question. If cos9α = sinα a and 9α < 90o, what is the value of tan 5 a?
(a) 1/√3
(b) √3
(c) 1
(d) 1/2
Answer: C
Question. If ΔABC is right angled at C, find the value of cos(A + B) .
(a) 0
(b) 1
(c) 1/2
(d) √3/2
Answer: A
Question. Fill in the blanks.
Question. 5 cos 0° + sin 90° = ___________.
Answer: 6
Question. tan 0° = ___________.
Answer: 0
Question. 2sin245° = ___________.
Answer: 1
One words
Question. Can the value of cos θ be 5/4 for some angle θ?
Answer: NO
Question. What is tan(90°-A) equal to?
Answer: cot A
Question. What do we call the side opposite to the right angle in a right triangle?
Answer: Hypotenuse
Question. What is the value of cosec 2θ -cot 2θ?
Answer: 1
Question. Name the side adjacent to angle A if ΔABC is a triangle right-angled at B.
Answer: AB
Question. If cot θ = 7/8 check whether 1-tan2θ/1+tan2θ = cos2θ -sin2θ or not.
Answer: LHS = RHS = -15/113
Write True or False.
Question. tanθ increases faster than sinθ as θ increases.
Answer: True
Question. sinθ +cosθ =1
Answer: False
Question. cos75° = cos60° +cos15°
Answer: False
Question. cosθ = 7/6 for some angleθ
Answer: False
Question.If we increase the lengths of the sides of a right triangle keeping the angle between them same, then the values of the trigonometric ratios will also increase. State True or False.
Answer: False
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CBSE Class 10 Mathematics Coordinate Geometry MCQs Set B |
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MCQs for Chapter 8 Introduction to Trigonometry Mathematics Class 10
Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.
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