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A flag staff on the top of the tower 80 meter high, subtends an angle tan−119 at a point on the ground 100 meters away from the foot of the tower. Find the height of the flag-staff-

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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 14
A person walking along a straight road observes that a two points 1km apart, the angles of elevation of a pole in front of him are 30° and 75°. The height of the pole is-
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 15
An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60°, and that of the top of cliff is 30°. If the height of the tower be 60 meters, then the height of the cliff is:
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 16
ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30° and that from B is θ, then tanθ is equal to
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 17
The angle of elevation of a ladder against a wall is 58° and the length of foot of the ladder is 9.6 m from the wall. Then the length of the ladder is cos 58°=0.5299
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 18
From the top of a tower, the angle of depression of a point P on the ground is 30°. If the distance of the point P from the tower  be 24 meters then height of the tower is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 19
A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a second point. h metre above first, point the depression of the foot of the tower is 60°, the horizontal distance of the tower from the points is
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 20
From a point on the ground 100 m away from the base of a building, the angle of elevation of the top of the building is 60°. Which of the following is the best approximation for the height of the building-
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Beta Question Bank for Engineering: Mathematics>Chapter 14 - Heights and Distances>EXERCISE-1>Q 21
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-