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MCQOPTIONS
This section includes 91 Mcqs, each offering curated multiple-choice questions to sharpen your Heights & Distances knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The angle of elevation of the top of the tower from a point on the ground is sin 1 (35). If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower? |
| A. | 10 m |
| B. | 15 m |
| C. | 20 m |
| D. | 25 m |
| Answer» C. 20 m | |
| 52. |
Two persons are on either sides of a tower of height 50 m. The persons observers the top of the tower at an angle of elevation of 30 and 60 . If a car crosses these two persons in 10 seconds, what is |
| A. | 17 3 km/hr |
| B. | 21 3 km/hr |
| C. | 22 3 km/hr |
| D. | 24 3 km/hr |
| Answer» E. | |
| 53. |
A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30 and 60 |
| A. | 9 m |
| B. | 4 m |
| C. | 12 m |
| D. | 8 m |
| Answer» B. 4 m | |
| 54. |
An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60 and 45 respectively. Approximately, how many meters |
| A. | 231 m |
| B. | 261 m |
| C. | 341 m |
| D. | 381 m |
| Answer» E. | |
| 55. |
A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 15 m away f |
| A. | 60 5 m |
| B. | 70 5 m |
| C. | 80 5 m |
| D. | 90 5 m |
| Answer» B. 70 5 m | |
| 56. |
From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings |
| A. | 600 m |
| B. | 650 m |
| C. | 700 m |
| D. | 750 m |
| Answer» C. 700 m | |
| 57. |
An observer 2 m tall is 10 3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30 . The height of the tower is: |
| A. | 10 m |
| B. | 12 m |
| C. | 14 m |
| D. | 16 m |
| Answer» C. 14 m | |
| 58. |
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 and 45 respectively. If the lighthouse is 100 |
| A. | 173 m |
| B. | 273 m |
| C. | 373 m |
| D. | 473 m |
| Answer» C. 373 m | |
| 59. |
The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is: |
| A. | 10 |
| B. | 30 |
| C. | 50 |
| D. | 70 |
| Answer» C. 50 | |
| 60. |
When the sun's altitude changes from 30 to 60 , the length of the shadow of a tower decreases by 70m. What is the height of the tower? |
| A. | 60.6 m |
| B. | 140 m |
| C. | 35 m |
| D. | 20.2 m |
| Answer» B. 140 m | |
| 61. |
An aeroplane when 900 m high passes vertically above another aeroplane at an instant when their angles of elevation at same observing point are 60 and 45 respectively. Approximately, how many meters higher is the one than the other? |
| A. | 381 m |
| B. | 211 m |
| C. | 169 m |
| D. | 254 m |
| Answer» B. 211 m | |
| 62. |
From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings if tan a = 5/12 and tan b = 4/5 |
| A. | 400 m |
| B. | 650 m |
| C. | 600 m |
| D. | 250 m |
| Answer» C. 600 m | |
| 63. |
The top of a 15 metre high tower makes an angle of elevation of 60 with the bottom of an electronic pole and angle of elevation of 30 with the top of the pole. What is the height of the electric pole? |
| A. | 12 metres |
| B. | 5 metres |
| C. | 8 metres |
| D. | 10 metres |
| Answer» E. | |
| 64. |
A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30 and 60 respectively. What is the height of the tower? |
| A. | 10.40 m |
| B. | 15.57 m |
| C. | 9 m |
| D. | 12 m |
| Answer» D. 12 m | |
| 65. |
A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60 . If the point at which John is standing is 150 m away from point A, what is the speed of the balloon? |
| A. | 2.16 meter/sec |
| B. | 0.72 meter/sec |
| C. | 0.63 meter/sec |
| D. | 3.87 meter/sec |
| Answer» B. 0.72 meter/sec | |
| 66. |
From the top of a hill 100 m high, the angles of depression of the top and bottom of a pole are 30 and 60 respectively. What is the height of the pole? |
| A. | 52 m |
| B. | 66.67 m |
| C. | 50 m |
| D. | 33.33 m |
| Answer» C. 50 m | |
| 67. |
The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45 and 60 . What is the distance between these two points? |
| A. | 30 m |
| B. | 94.6 m |
| C. | 45 m |
| D. | 103.8 m |
| Answer» C. 45 m | |
| 68. |
From a tower of 80 m high, the angle of depression of a bus is 30 . How far is the bus from the tower? |
| A. | 40 m |
| B. | 138.4 m |
| C. | |
| D. | D. |
| Answer» C. | |
| 69. |
A ladder 10 m long just reaches the top of a wall and makes an angle of 60 with the wall.Find the distance of the foot of the ladder from the wall |
| A. | 5 m |
| B. | 17.3 m |
| C. | 8.65 m |
| D. | 4.32 m |
| Answer» D. 4.32 m | |
| 70. |
A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45 with the man's eye when at a distance of 100 metres from the tower. After 10 seconds, the angle of depression becomes 30 . What is the approximate speed of the boat, assuming that it is running in still water? |
| A. | 32.42 km/hr |
| B. | 26.28 km/hr |
| C. | 24.22 km/hr |
| D. | 31.25 km/hr |
| Answer» C. 24.22 km/hr | |
| 71. |
A man on the top of a vertical observation tower observers a car moving at a uniform speed coming directly towards it. If it takes 8 minutes for the angle of depression to change from 30 to 45 , how soon after this will the car reach the observation tower? |
| A. | 12 min 23 second |
| B. | 14 min 34 second |
| C. | 10 min 57 second |
| D. | 8 min 17 second |
| Answer» D. 8 min 17 second | |
| 72. |
The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is: |
| A. | 14.8 m |
| B. | 6.2 m |
| C. | 12.4 m |
| D. | 24.8 m |
| Answer» E. | |
| 73. |
The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is: |
| A. | 45 |
| B. | |
| C. | C. |
| D. | D. |
| Answer» B. | |
| 74. |
From a point P on a level ground, the angle of elevation of the top tower is 30 . If the tower is 200 m high, the distance of point P from the foot of the tower is: |
| A. | 346 m |
| B. | 400 m |
| C. | 298 m |
| D. | 312 m |
| Answer» B. 400 m | |
| 75. |
When height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun? |
| A. | 30 deg |
| B. | 60 deg |
| C. | 90 deg |
| D. | 45 deg |
| Answer» E. | |
| 76. |
A tree breaks and falls to the ground such that its upper part is still partially attached to its stem. At what height did it break, if the original height of the tree was 24 cm and it makes an angle of 30 with the ground? |
| A. | 12 cm |
| B. | 8 cm |
| C. | 9.5 cm |
| D. | 7.5 cm |
| Answer» C. 9.5 cm | |
| 77. |
Due to sun, a 6ft man casts a shadow of 4ft, whereas a pole next to the man casts a shadow of 36ft. What is the height of the pole? |
| A. | 63 ft |
| B. | 72 ft |
| C. | 54 ft |
| D. | 48 ft |
| Answer» D. 48 ft | |
| 78. |
Two houses are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 45 with the ground. How far are the houses from each other if one house is 25m and other is 10m in height? |
| A. | 18 m |
| B. | 12 m |
| C. | 7.5 m |
| D. | 15 m |
| Answer» E. | |
| 79. |
Ramesh and Suresh s mud forts have heights 8cm and 15 cm. They are 24 cm apart. How far are the fort tops from each other? |
| A. | 31 cm |
| B. | 24 cm |
| C. | 25 cm |
| D. | 24.5 cm |
| Answer» D. 24.5 cm | |
| 80. |
There is a tree between houses of A and B. If the tree leans on A s House, the tree top rests on his window which is 12 m from ground. If the tree leans on B s House, the tree top rests on his window which is 9 m from ground. If the height of the tree is 15 m, what is distance between A s and B s house? |
| A. | 21 m |
| B. | 25 m |
| C. | 16 m |
| D. | 12 m |
| Answer» B. 25 m | |
| 81. |
Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall? |
| A. | 423.5 m |
| B. | 450 m |
| C. | 470 m |
| D. | 495 m |
| Answer» D. 495 m | |
| 82. |
From a point on a scaffold over the waterway, the edge of dejection of the banks on inverse sides of the waterway is 30 and 45 respectively. In the event that the scaffold is at tallness of 2.5m from the banks, find the width of the Stream. (Take 3=1.732) |
| A. | 5.78m |
| B. | 6.83m |
| C. | 7.24m |
| D. | |
| Answer» C. 7.24m | |
| 83. |
A kite is flying at a tallness of 75 m from the level of ground, joined to a string slanted at 60 to the level. The string's length is: |
| A. | 50 2 m |
| B. | 50 3 m |
| C. | 50m/ 2 |
| D. | 50m/ 3 |
| Answer» C. 50m/ 2 | |
| 84. |
At a moment, the shadow's length of a shaft is 3 times the stature of the shaft. The edge of rise of the sun is: |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 75 |
| Answer» B. 45 | |
| 85. |
Two men are inverse sides of a tower. They gauge the edge of the rise of the highest point of the tower as 30 and 45 respectively. On the off chance that the tallness of the tower is 50 m, discover the separation between the two men. (Take 3=1.732) |
| A. | 135.5m |
| B. | 136.5 m |
| C. | 137.5 m |
| D. | 138.5m |
| Answer» C. 137.5 m | |
| 86. |
A step inclining toward a vertical divider makes a point of 45 with the even ground. The step's Foot is 3m from the divider. Find Length of the step? |
| A. | 4.23 m |
| B. | 5.23 m |
| C. | |
| D. | D. |
| Answer» B. 5.23 m | |
| 87. |
From the top of mast head of height 210 meters of a ship, a boat is observed at an angle of depression of 30 then the distance between them is |
| A. | 210 3 |
| B. | 250/ 3 |
| C. | 70 3 |
| D. | 105 3 |
| Answer» B. 250/ 3 | |
| 88. |
A vertical pole fixed to the ground is divided in the ratio 1:4 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 16 m away from the base of the pole, what is the height of the pole? |
| A. | 8 2 |
| B. | 30 2 |
| C. | 40 2 |
| D. | 50 2 |
| Answer» D. 50 2 | |
| 89. |
A man observes the elevation of a balloon to be 45 at a point A .He then walks towards the balloon and at a certain place B finds the elevation to be 60 . He further walks in the direction of the balloon and finds it to be directly over him at a height of 450 m. Distance travelled from A to B is |
| A. | 300 3 m |
| B. | 200 3 m |
| C. | 100 3 m |
| D. | 450 3 m |
| Answer» B. 200 3 m | |
| 90. |
From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower. |
| A. | 273 m |
| B. | 156 m |
| C. | 173 m |
| D. | 200 m |
| Answer» D. 200 m | |
| 91. |
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30 degree and 45 degree respectively. If the lighthouse is 100 m high, the distance between the two ships is |
| A. | 273 m |
| B. | 156 m |
| C. | 263 m |
| D. | 200 m |
| Answer» B. 156 m | |