To help you prepare for your trigonometry class 10 exam, here is a sample test that covers various topics related to trigonometry. This test will assess your understanding of trigonometric ratios, identities, and applications.


1. Find the value of sin 30°.
2. Calculate the value of cos 60°.
3. Determine the value of tan 45°.
4. Evaluate the sin θ if cos θ = 0.8.


1. Prove the identity: sin²θ + cos²θ = 1.
2. Simplify the expression: (secθ - cosθ)(secθ + cosθ).
3. Prove the identity: tan²θ + 1 = sec²θ.
4. Simplify the expression: sinθ(cosecθ - cotθ).


1. A ladder is leaning against a wall. If the length of the ladder is 10 meters and the angle between the ladder and the ground is 60°, find the height of the wall.
2. An observer spots a bird on a tree. The angle of elevation from the observer to the bird is 45°. If the observer is standing 20 meters away from the tree, calculate the height of the tree.
3. A flagpole is located on top of a building. If the angle of elevation from a point on the ground to the top of the flagpole is 30° and the distance between the point and the building is 50 meters, find the height of the flagpole.


1. A person looks out of a window at an angle of elevation of 30°. If the window is 10 meters above the ground, how far is the person from the building?
2. A ladder is placed against a wall, making an angle of 60° with the ground. If the foot of the ladder is 6 meters away from the wall, find the length of the ladder.
3. An airplane is flying at an altitude of 5000 meters. If the angle of depression from the airplane to a point on the ground is 45°, how far is the airplane from the point on the ground?

Remember to show all your workings and provide units where necessary. Good luck with your preparation!