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Question 1
A car is going in a straight path towards a tower. Tower’s peak can be observed from the car. In the whole process, the angle changes from 450 to 600 in 10 min. Then how much more time car will take in reaching the tower?
Question 2
At a distance of 50 meters away from the bottom of a pole, the shadow of the pole is to be seen from the 2/3rd height from the bottom at an angle of 300 depression then find the total height of pole.
Question 3
A man of height 2.5m looks at top of the pole of radius 10cm, standing at a distance of 32.5m away from the pole. His angle of elevation is 60 degree. Find the total volume of the pole?
Question 4
A man standing in one corner of a square football field observes that the angle subtended by a pole in the corner just diagonally opposite to this corner is 60o. When he retreats 80 m from the corner, along the same straight line, he finds the angle to be 30o. The length of the side of field, in m is :
Question 5
If the angle of elevation of the Sun changes from 30 º to 45 º, the length of the shadow of a pillar decreases by 20 metres. The height of the pillar is
Question 6
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30 °. The man walks some distance towards the tower and then his angle of elevation of the top of the tower is 60 °. If the height of the tower is 30 m, then the distance he moves is
Question 7
A plane is flying at a height of 60 m above the ground. The string attached to the plane is temporarily tied to a point on the ground. The inclination of the string with the ground is 60 °. Find the length of the string, assuming that there is no slack in the string.
Question 8
A car is travelling on a straight road leading to a tower. From a point at a distance of 500 m from the tower, as seen by the driver, the angle of elevation of the top of the tower is 30 °. After driving towards the tower for 10 seconds, the angle of elevation of the top of the tower as seen by the driver is found to be 60 °. Then the speed of the car is
Question 9
Form a point P on the ground the angle of elevation of the top of a 10 m tall building is 30 º. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45 º. Find the length of the flagstaff.
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Question 10
A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 30 ° to 60 °. How soon the boat reach the sea-shore?
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Mar 16SSC & Railway
