Heights And Distances
Practice Heights And Distances MCQs from Trigonometry — Mathematics.
An electric pole is 10 m high. A steel wire tied to top is fixed at 45° to ground. Wire length?
If the sun's elevation changes from 30° to 45°, the shadow of a tower:
A ladder 15 m long makes 60° with the wall. Find height of wall it reaches.
From top of cliff 20 m high, angle of depression of a buoy is 30°. Distance of buoy?
Shadow of a tower is √3 times its height. Sun's altitude is:
Height of a tower is 100 m. Angle of elevation from a point is 30°. Distance?
A balloon is connected to ground by a 100 m string. If it makes 60° with ground, height is:
From the top of a 60 m high building, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°. The height of the tower is:
A bird is sitting on top of an 80 m high tree. From a point on ground, elevation is 45°. Bird flies away horizontally. After 2 seconds, elevation is 30°. Find speed of bird.
From a point on a bridge across a river, angles of depression of the banks on opposite sides are 30° and 45°. If bridge is 3 m high, find river width.
The angle of elevation of a cloud from a point h meters above a lake is α and the angle of depression of its reflection is β. The height of the cloud is:
A man on the deck of a ship 10 m above water level observes elevation of a hill top as 60° and depression of base as 30°. Find hill height.
A round balloon of radius r subtends an angle θ at the eye of an observer, while the angle of elevation of its center is φ. Height of center?
A ladder rests against a wall at α to the horizontal. Its foot is pulled a distance 'a' away so it slides 'b' down the wall, making angle β. Find a/b.
Angle of elevation of top of a tower from point A is 30°. From point B, 20 m closer, it is 60°. Find tower height.
A vertical tower is surmounted by a flagstaff of height h. At a point on ground, elevations of bottom and top of flagstaff are α and β. Tower height is:
From a point on ground, the elevation of a tower is θ. After walking a distance 'a' towards it, elevation is 45°, and after 'b' more, it is 90-θ. Height is:
An aeroplane at altitude h observes two points on opposite sides of the river at angles α and β. Width of river?
The angle of elevation of a stationary helicopter from a point is 60°. After rising 100 m vertically, the angle of depression of the point is 45°. Find the original height.
If a pole of height h is at the center of a square of side 'a', and θ is elevation of its top from a corner, then: