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Walking 20m on a slope of inclination 30...

Walking 20m on a slope of inclination `30^(@)` with the level ground, one reaches 10m above the ground level.

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A gun is set up in such a wat that the muzzle is at around level as in figure. The hoop A is located at a horizontal distance 40m from the muzzle and is 50m above the ground level. Shell is fired with initial horizontal component of velocity as 40 m//s . Which of the following is // are correct?

A wire of length 18 m had been tied with electric pole at an angle of elevation 30^(@) with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation 60^(@) with the ground. How much length of the wire was cut?

A particle of mass m is projected with velocity making an angle of 45^(@) with the horizontal When the particle lands on the level ground the magnitude of the change in its momentum will be .

Two dises having masses in the ratio 1 : 2 and radii in the ratio 1 : 8 roll down without slipping one by one from an inclined plane of height h. The ratio of their linear velocities on reaching the ground is :-

A golfer standing on level ground hits a ball with a velocity of u=52m//s at an angle alpha above the horizontal. If tantheta=5//12 , then the time interval for which the ball is at least 15 m above the ground (i.e. between A and B will be :(take g=10m//s^(2) )

A ladder 15 m long reaches a window which is 9 m above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m above the ground. Find the width of the street.

Two tall buildings face each other and are at a distance of 180 m from each other. With what velocity must a ball be thrown horizontally from a window 55 m above the ground in one building, so that it enters a window 10.9 m above the ground in the second building ?

A pump on the ground floor of a building can pump up water to fill a tank of volume 30 m^(3) in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump?

A pump on the ground floor of a building can pump up water tofill a tank of volume 30 m^(3) in 15 min . If the tank is 40 m above the ground , and the efficiency of the pump is 30% how much electric power is consumed by the pump?

An airplane takes off at an angle 30^(@) with the horizontal ground treveling at the speed of 180km//h . If it continuous to fly with the same velocity in the same direction, how long will it take to reach an altitude of 9km above the ground?

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Objective Questions
  1. The height of a tower is 200m. When the altitude of the Sun is 30^(@),...

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  2. The angle of elevation of the top of a 15m high tower from a point 15m...

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  3. The angle of depression of a boat from a 50m high bridge is 30^(@). Th...

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  4. The angle of elevation of a bird sitting on top of a tree as seen from...

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  5. The length of the shadow of a 10m high tree is ……..m when the angle of...

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  6. The top of two poles of height 16m and 10m are connected by a wire. If...

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  7. The angle of elevation of the top of a tower from a point P on the gro...

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  8. A 1.8m tall girl stands at a distance of 4.6m from a lamp post and cas...

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  9. The angle of elevation of the top of a tower at a distance 500m from t...

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  10. A tower stands on a horizontal plane. The shadow of the tower when the...

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  11. The angle of elevation of the top of a tower from a point 30m away fro...

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  12. The height of a tower is 10m. What is the length of its shadow when th...

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  13. An observer, 1.5m tall, is 28.5m away from a 30m high tower. Determine...

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  14. An observer 1.7m tall, is 20 sqrt3m away from a tower. The angle of el...

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  15. The angle of elevation of the top of an adjustable pole from a point o...

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  16. The two towers of heights x and y, standing on level ground, subtend a...

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  17. When the Sun's altitude is 45^(@), the height of a tower and the lengt...

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  18. In a right triangle, if the measure of an acute angle is 30^(@), the s...

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  19. A 10m long ladder leaning on a wall reaches the height of 5m on the wa...

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  20. Walking 20m on a slope of inclination 30^(@) with the level ground, on...

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