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A kite is flying with the string inclined at 75° to the horizon. If the length of the string is 25 m, the height of the kite is-

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Important Questions on Heights and Distances

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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 22
If a flagstaff 6 m high placed on the top of a tower throws a shadow of 23 m along the ground, then the angle (in degree) that the Sun makes with the ground, is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 23
A 6 ft tall man finds that the angle of elevation of the top of a 24 ft high pillar and the angle of depression of its foot are complementary angles. The distance of the man from the pillar is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 24
A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes. Then, the ratio of the height of the pillar and the distance of the man from the pillar is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 25
The shadow of a tower of height 1+3 metre standing on the ground is found to be 2 metre longer when the sun's elevation is 30°, than when the sun's elevation was-
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 26
The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 50 m from its base is 45°. If the angle of elevation of the top of the complete pillar the same point is to be 60°, then the height of the incomplete pillar is to be increased by-
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 27
AB is a vertical pole. The point A of pole AB is on the level ground. C is the middle point of AB. P is a point on the level ground. BC subtends an angle β at P. If AP=nAB, then tanβ is equal to-
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 28
The top of a hill observed from the top and bottom of a building of height h is at the angle of elevation p and q respectively. The height of the hills is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 29
A vertical pole subtends an angle tan−112 at a point P on the ground. The angle subtended by the upper half of the pole at the point P is-