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
A balloon is flying at a height of 100 m. The angle of elevation from a point on the ground is 30°. How far is the point from the balloon (horizontal distance)?
A flagpole is 12 m high. If the angle of elevation of its top from a point on the ground is 45°, how far is the point from the base of the flagpole?
A ladder 15 m long rests against a wall. The foot of the ladder is 9 m from the wall. Find the angle the ladder makes with the ground (to the nearest degree).
A man 1.6 m tall observes the top of a tower at an angle of elevation of 45°. If the distance between the man and the tower is 30 m, what is the height of the tower?
A man 1.7 m tall observes the top of a building at an angle of elevation of 30°. If he is standing 50 m from the building, what is the height of the building?
A man 1.8 m tall observes the top of a building at an angle of elevation of 45°. If he is standing 20 m from the building, what is the height of the building?
A man observes the top of a building at an angle of elevation of 60°. If the building is 20 m high, how far is the man from the building?
A man observes the top of a tower at an angle of elevation of 30°. If the height of the tower is 40 m, how far is the man from the base of the tower?
A man observes the top of a tower at an angle of elevation of 45°. If he moves 10 m closer, the angle becomes 60°. Find the height of the tower.
A man observes the top of a tree at an angle of elevation of 30°. If the man is standing 10 m from the base of the tree, what is the height of the tree? (Give answer to 2 decimal places)
A man standing 40 m away from a building observes the top of the building at an angle of elevation of 30°. Find the height of the building (to the nearest meter).
A man standing at a distance of 80 m from a tower finds the angle of elevation of the top of the tower to be 30°. Find the height of the tower.
A man standing on a bridge 20 m above a river observes a boat at an angle of depression of 30°. How far is the boat from the point on the river directly below the man?
A man standing on the ground finds the angle of elevation of the top of a tower to be 30°. On moving 20 m closer to the tower, the angle of elevation becomes 45°. Find the height of the tower.
A person 1.5 m tall observes the top of a tower at an angle of elevation of 60°. If the distance between the person and the tower is 20 m, find the height of the tower.
A tower and a building are 30 m apart. The angle of elevation of the top of the tower from the top of the building is 45°. If the building is 20 m high, find the height of the tower.
A tree casts a shadow 8 m long when the angle of elevation of the sun is 45°. What is the height of the tree?
A vertical pole and a vertical tower are 60 m apart. The angle of elevation of the top of the tower from the top of the pole is 30°. If the pole is 10 m high, find the height of the tower.
If the angle of depression from the top of a lighthouse 60 m high to a boat is 30°, how far is the boat from the base of the lighthouse?
If the angle of elevation of the sun is 60°, what is the length of the shadow cast by a pole 10 m high?
