Applications of Trigonometric MCQ Test: Applications of Trigonometric MCQs - Practice Questions
1. A tree casts a shadow of 15 meters when the sun's angle of elevation is 60°. What is the height of the tree?
2. A person is standing on top of a building. If the angle of depression to a point on the ground is 50° and the building is 25 meters tall, how far is the point from the base of the building?
3. In a right-angled triangle, if one acute angle measures 30° and the hypotenuse is 10 meters long, what is the length of the side opposite the 30° angle?
4. A Ferris wheel has a radius of 15 meters. If the wheel completes one full revolution, how far does a point on the edge of the wheel travel?
5. An observer is standing 30 meters away from a building. If the angle of elevation to the top of the building is 45°, how tall is the building?
6. A ladder is leaning against a wall. If the ladder is 20 meters long and forms an angle of 80° with the ground, how high up the wall does the ladder reach?
7. A flagpole casts a shadow of 25 meters when the sun's angle of elevation is 60°. What is the height of the flagpole?
8. A ship at sea spots a lighthouse. The angle of elevation to the top of the lighthouse is 20°. If the ship is 3,000 meters away from the lighthouse, how tall is the lighthouse?
9. A ladder is leaning against a wall. If the ladder is 15 meters long and forms an angle of 70° with the ground, how high up the wall does the ladder reach?
10. A person is standing on a hill with an angle of elevation of 25°. If the person looks down and sees a tree, the angle of depression to the top of the tree is 10°. If the hill is 50 meters tall, how tall is the tree?