Apply Trigonometry Like a Pro with Our MCQ Mock Test!

Want to see Trigonometry in action? Test your skills and strengthen your problem-solving with our Class 10 Maths Chapter 9 – Some Applications of Trigonometry MCQ Mock Test!

This test covers all important applications — from heights and distances problems to real-life scenarios using trigonometric ratios. Each question is designed to improve your reasoning, analytical skills, and speed, just like in your board exams.

What You’ll Get:

  • A variety of MCQs based on real-life applications of trigonometry.
  • Step-by-step solutions and explanations to clear every doubt.
  • Instant scoring and performance analysis to track your preparation.
  • Practice that enhances accuracy, confidence, and problem-solving speed.

Why Attempt This Test?
Because understanding applications of Trigonometry is key to solving practical problems and scoring well. Regular practice ensures you’re ready to tackle any question confidently.

Take the test now and master applications of Trigonometry!

1. 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:

 
 
 
 

2. In the following questions, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct answer out of the following choices.

Assertion (A): The length of the shadow of a vertical tower is  times the height of tower. So, the angle of elevation of the Sun at this instant is 45°.
Reason (R): The value of tan 45° is 1.

 
 
 
 

3. In the following questions, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct answer out of the following choices.

Assertion (A): In the given figure, if AC = 5m, the length of AB is 2.5 m.

Reason (R): sin θ =  in a ΔABC, in which ∠B = 90° and ∠ACB = θ.

 

 
 
 
 

4. 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 =

 
 
 
 

5. A portion of a 60 m long tree is broken by tornado and the top struck up the ground making an angle of 30° with the ground level. The height of the point where the tree is broken is equal to

 
 
 
 

6. The line drawn from the eye of an observer to the point in the object viewed by the observer is known as

 
 
 
 

7. 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

 
 
 
 

8. 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

 
 
 
 

9. A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is

 
 
 
 

10. Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. The distance between these poles is

 
 
 
 

Question 1 of 10