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MathematicsMedium
Trigonometry
Heights And Distances

Angle of elevation of a cloud from a point 60 m above a lake is 30° and depression of its reflection in lake is 60°. Height of cloud?

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MathematicsMedium
Trigonometry
Heights And Distances

A person standing on the bank of a river observes the angle of elevation of a tree on the opposite bank as 60°. When he moves 40 m away, it becomes 30°. Width of river?

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MathematicsMedium
Trigonometry
Heights And Distances

A vertical pole and a tower are on the same ground. The angle of elevation of the top of the tower from the top and bottom of the pole are 30° and 60° respectively. If tower is 90 m, pole height is:

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MathematicsMedium
Trigonometry
Heights And Distances

A plane flying at 3000 m passes vertically above another plane at an instant when elevations of the two planes from the same point are 60° and 45°. Distance between planes?

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MathematicsMedium
Trigonometry
Heights And Distances

The angles of elevation of the top of a tower from two points on the ground at distances 4 m and 9 m from the base are complementary. Tower height?

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MathematicsMedium
Trigonometry
Heights And Distances

A 10 m long pole is broken by wind. The top touches the ground at 30° with ground. Find the height of the break.

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MathematicsMedium
Trigonometry
Heights And Distances

The ratio of height of a tower and distance of point is √3:1. Elevation is:

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MathematicsMedium
Trigonometry
Heights And Distances

Two poles 12 m and 18 m high stand vertically. If the string connecting their tops makes 30° with horizontal, find distance between them.

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MathematicsMedium
Trigonometry
Heights And Distances

From a lighthouse 100 m high, the angles of depression of two ships are 30° and 60°. If ships are on opposite sides, find distance between them.

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MathematicsMedium
Trigonometry
Heights And Distances

Angle of elevation of a tower from a point is 45°. Moving 10 m away, it becomes 30°. Height?

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MathematicsMedium
Trigonometry
Heights And Distances

An electric pole is 10 m high. A steel wire tied to top is fixed at 45° to ground. Wire length?

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MathematicsMedium
Trigonometry
Heights And Distances

If the sun's elevation changes from 30° to 45°, the shadow of a tower:

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MathematicsMedium
Trigonometry
Heights And Distances

A ladder 15 m long makes 60° with the wall. Find height of wall it reaches.

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MathematicsMedium
Trigonometry
Heights And Distances

From top of cliff 20 m high, angle of depression of a buoy is 30°. Distance of buoy?

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MathematicsMedium
Trigonometry
Heights And Distances

Shadow of a tower is √3 times its height. Sun's altitude is:

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MathematicsMedium
Trigonometry
Heights And Distances

Height of a tower is 100 m. Angle of elevation from a point is 30°. Distance?

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MathematicsMedium
Trigonometry
Heights And Distances

A balloon is connected to ground by a 100 m string. If it makes 60° with ground, height is:

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MathematicsHard
Trigonometry
Heights And Distances

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:

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MathematicsHard
Trigonometry
Heights And Distances

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.

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MathematicsHard
Trigonometry
Heights And Distances

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.

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