Page 73 - Mathematics Class - X

MCQs

1. Is each trigonometric ratio a real number?
a) Can’t Say b) No c) Yes d) None of these

2. If tan A = 1 then what is the value of sin A cos C+ cos A sin C, in ∆ABC, right-angled at B?
a) 0 b) 1 c) 2 d) None of these
3. If sin (60° + a) = 1, then what is correct option for a?
a) 45° b) 15° c) 60° d) 30°
4. 3 cos 30° + tan 60° is
2
2
a) 21 b) 5 c) 1 d) 6 1
4 4
5. A triangle is right-angled at C and ∠A = ∠B, then which is correct in ∠ABC?
a) cos A = cos B b) cos A = cos C c) cos B = cos C d) None of these

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Answers: 1. c) Yes 2. b) 1 3. d) 30° 4. a) 5. a) cos A = cos B
4

Case-Study Based Questions
Case-Study Based Questions
A school has organised a tour for the students of Class - X.
Management has decided to visit the India Gate on an education trip.
The teacher told the students about the history of India Gate. India
Gate, official name Delhi Memorial, originally call All-India War
Memorial, Monumental Sandstone Arch in New Delhi, dedicated to
the troops of British India who died in wars fought between 1914
and 1919. The teacher also told that India Gate which is located at
the eastern end of the Rajpath, is about 138 feet (42 meters) in height.
Now, answer the following questions.

1. What is the angle of elevation if the group of students are standing at a distance of 42 m away from
the monument?
(a) 30° (b) 45° (c) 60° (d) 0°

2. Group of students want to see this at an angle of 30°. So, they want to known the distance were
they should stand.
(a) 65 m (b) 60 m (c) 72.7 m (d) 75 m
3. The ratio of the length of a rod and its shadow is 1:1 then the angle of elevation of the sun is

(a) 30° (b) 90° (c) 60° (d) 45°
4. The angle formed by the line of sight with the horizontal when the object viewed is below the
horizontal level is
(a) Corresponding angle (b) The angle of depression
(c) Angle of elevation (d) Complete angle

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