Height and Distance
Application of trigonometry to find heights and distances.
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Take a full mock →Q1 · Height and Distance · EASY
A ladder 10 meters long is leaning against a vertical wall. If the foot of the ladder is 6 meters away from the wall, what is the height at which the top of the ladder touches the wall?
Q2 · Height and Distance · MEDIUM
From the top of a 75 meter high lighthouse, the angle of depression of a ship is 30 degrees. What is the distance of the ship from the base of the lighthouse? (Use √3 = 1.732)
Q3 · Height and Distance · HARD
A man observes the angle of elevation of the top of a tower to be 30 degrees. He walks 50 meters towards the tower and finds the angle of elevation to be 45 degrees. What is the height of the tower? (Use √3 = 1.732)
Q4 · Height and Distance · MEDIUM
From the top of a 60 m high tower, the angle of depression of a point on the ground is 30°. What is the distance of the point from the base of the tower?
Q5 · Height and Distance · HARD
A ladder leaning against a wall makes an angle of 60° with the ground. If the foot of the ladder is 6 m away from the wall, what is the length of the ladder?