Heights and Distances
Math ⇒ Trigonometry
Heights and Distances starts at 10 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Heights and Distances.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
What is the angle of elevation?
A man standing at a certain distance from a tower finds the angle of elevation of the top of the tower to be 45°. If he moves 30 m farther from the tower, the angle of elevation becomes 30°. Find the height of the tower.
A man standing on the roof of a building 50 m high observes a car on the road at an angle of depression of 28°. How far is the car from the base of the building? (Round your answer to the nearest meter.)
A tree and a building stand on the same level ground. The angle of elevation of the top of the tree from the foot of the building is 40°, and the angle of elevation of the top of the building from the foot of the tree is 60°. If the tree is 20 m high, find the height of the building. (Give your answer to two decimal places.)
A vertical pole is fixed on the top of a building. From a point on the ground 30 m away from the building, the angles of elevation of the top of the pole and the top of the building are 60° and 45° respectively. Find the height of the pole. (Give your answer to two decimal places.)
Explain why the tangent function is commonly used in heights and distances problems involving right triangles.
From the top of a tower 80 m high, the angle of depression to a point on the ground is 37°. Calculate the horizontal distance from the base of the tower to the point. (Give your answer to two decimal places.)
