Heights And Distances
Practice Heights And Distances MCQs from Trigonometry — Mathematics.
What is the angle of elevation of the sun when the shadow of a pole is equal to its height?
Find the height of a tower if its shadow is 20√3 m long when the sun's elevation is 30°.
A ladder 10 m long reaches a window 5 m high from the ground. Find the angle the ladder makes with the ground.
If the angle of elevation of a kite is 60° and the length of the string is 100 m, find the vertical height of the kite.
A man 1.5 m tall is 28.5 m away from a tower 30 m high. What is the angle of elevation of the top of the tower from his eye?
A pole 6 m high casts a shadow 2√3 m long. What is the sun's altitude?
The angle of depression of a boat from a bridge 25 m high is 30°. Find the horizontal distance of the boat from the bridge.
A tree 12 m high casts a shadow of 12 m. What is the angle of elevation of the sun?
If a building's height is h and its shadow is h/√3, find the angle of elevation.
A kite is flying at a height of 75 m. If the string makes an angle of 30° with the ground, find the string length.
What is the term for the angle between the horizontal line and the line of sight when an object is above the horizontal line?
A vertical stick 20 cm long casts a shadow 10 cm long. At the same time, a tower casts a shadow 50 m long. Find the tower's height.
From a point 15 m away from the foot of a tower, the angle of elevation is 60°. Find the height.
If the ratio of the height of a pillar and its shadow is 1:√3, find the sun's elevation.
Find the distance of a point from the foot of a 100 m high tower if the angle of elevation is 45°.
A string of length 200 m is attached to a kite. If the string makes 30° with ground, what is the kite's height?
A 10 m long wire is attached to a pole. If the wire makes 60° with the ground, find the pole's height.
The angle of depression of a car from a 10 m high building is 45°. How far is the car from the building?
If the shadow of a tree is √3 times its height, what is the angle of elevation?
A ladder makes an angle of 60° with the ground. If its foot is 4 m away from the wall, find the ladder length.