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M.K. MATHEMATICS (M.:8826181724), , CLASS:-X, , CHAP.-9, , TIME: 1:15hrs., Very Short Answer Questions, , [M.M.: 20], (1 mark), , Q.1 The angle of elevation of the top of a tower standing on a horizontal plane, from a point A is α. After walking a distance d towards the foot of the tower, the angle of elevation is found to be β. The height of the tower is, Q.2 From the top of a cliff 25 m high the angle of elevation of a tower is found, to be equal to the angle of depression of the foot of the tower. The height of, the tower is, Q.3 If a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and casts a, shadow of length 4.5 m on the ground, then the height of the lamp-post is, Q.4 The height of a tower is 10 m. What is the length of its shadow when Sun’s, altitude is 45°?, Long Answer Question, , (2 marks), , Q.5 From the top of a building 60 m high the angles of depression of the top, and the bottom of a tower are observed to be 30° and 60°. Find the height of, the tower., [CBSE 2005], Q.6 Find the angle of elevation of the sun (sun’s altitude) when the length of, the shadow of a vertical pole is equal to its height., Q.7 The shadow of a flag-staff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at an angle of 60°. Find the angle, between the sun rays and the ground at the time of longer shadow., Long Answer Question, , (3 marks), , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2 FLOOR, , Page 1

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M.K. MATHEMATICS (M.:8826181724), , CLASS:-X, , CHAP.-9, , Q.8 Two stations due south of a leaning tower which leans towards the north, are at distances a and b from its foot. If α, β the the elevations of the top of the, tower from these stations, prove that its inclination θ to the horizontal is, given by cotθ =, , –, , ., , Q.9 On a horizontal plane there is a vertical tower with a flag pole on the top of, the tower. At a point 9 metres away from the foot of the tower the angle of, elevation of the top and bottom of the flag pole are 60° and 30° respectively., Find the height of the tower and the flag pole mounted on it., Long Answer Question, , (4 marks), , Q.10 A rocket is in the form of a circular cylinder closed at the lower end with, a cone of the same radius attached to the top. The cylinder is of radius 2.5 m, and height 21 m and the cone has the slant height 8 m. Calculate the total, surface area and the volume of the rocket., , “Education is the movement from darkness to light”, ALL THE BEST, , 60 FEET ROAD, MAHAVIR ENCLAVE PART –III, ABOVE, PUNJAB &SIND BANK 2 FLOOR, , Page 2