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Heights & Distances

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91.

The heights of two poles are 80 m and 62.5 m. If the line joining their tops makes an angle of 45º with the horizontal, then find the distance between the poles.

Answer: D

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92.

There is a small island in middle of 100 m wide river and a tall tree stands on island. P and Q are points directly opposite to each other on two banks. If angles of elevation is 30º and 45º.

Answer: C

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93.

A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7m. At a point on the plane, the angle of elevation of the bottom of the flagstaff is 30º and that of the top o

Answer: A

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94.

The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:

Answer: A

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95.

A kite is flying at a tallness of 75 m from the level of ground, joined to a string slanted at 60° to the level. The string's length is:

Answer: B

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96.

The angle of elevation of the top of the tower from a point on the ground is sin−1⁡(35). If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

Answer: B

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97.

From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings

Answer: B

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98.

A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing i

Answer: B

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99.

From the top of a building 30 m high, the top and bottom of a tower are observed to have angles of depression 30º and 45º respectively. Find the height of the tower.

Answer: D

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100.

If a vertical pole 6 m high has a shadow of length 2 √3 metres, find the angle of elevation of the sun.

Answer: D

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