Chapter 9 Some Applications of Trigonometry- MCQ Online Test 2 Class 10 Maths

1. If the length of the shadow of a tower is equal to its height, then find the angle of elevation of the sun?
a. 45∘
b. 25∘
c. 15∘
d. 50∘
2. If the height of the tower is√3 times of the length of its shadow, then find the angle of elevation of the sun?
a. 60∘
b. 30∘
c. 50∘
d. 100∘
3. The ___________ is the angle between the horizontal and the line of sight to an object when the object is below the horizontal level.
a. Angle of projection
b. Angle of elevation
c. Angle of depression
d. None of these
4. If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is 45∘, then find the value of ‘x’?
a. 1.6m
b. 2m
c. 4.2m
d. 3m
5. In a right triangle ABC, ∠C = 90°. If AC = √3BC and ∠B =ϕ, then find its value?
a. 20∘
b. 30∘
c. 50∘
d. 60∘
6. Find the angle of elevation of the sun when the shadow of a pole of height ‘h’ metres is √3h metres long?
a. 20∘
b. 30∘
c. 50∘
d. 90∘
7. If the altitude of the sun is 60∘, find the height of a tower which casts a shadow of length 90m?
a. 90√3
b. √3
c. 30√2
d. √5
8. A contractor planned to install a slide for the children to play in a park. If he prefers to have a slide whose top is at a height of 1.5m and is inclined at an angle of 30∘ to the ground, then find the length of the slide?
a. 5
b. 3
c. 6
d. 4
9. A kite is flying at a height of 200m above the ground. The string attached to the kite is temporarily tied to a point on the ground. Find the inclination of the string with the ground is 45°. The length of the string, assuming that there is no slack in the string?
a. 200√2 m
b. 300√2 m
c. 800√2 m
d. 500√2 m
10. If in a ΔABC, ∠C = 90∘ and ∠B = 45∘, then state which of the following is true?
a. Base = Hypotenuse + Perpendicular
b. Base = Hypotenuse
c. Perpendicular = Hypotenuse
d. Base = Perpendicular