Height and Distance Questions Practice Question and Answer
8 Q: A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__
1542 05f2cfd8279b9e641a7607eeb
5f2cfd8279b9e641a7607eeb- 160 cmfalse
- 280 cmtrue
- 340 cmfalse
- 4100 cmfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "80 cm"
Q: The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-
1511 060530ff4a01bc44789ad9e09
60530ff4a01bc44789ad9e09- 15√3false
- 215false
- 310√3true
- 420√3false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "10√3"
Q: From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the object is $$ {32{\sqrt{3}{\ meter}}}$$. The value of x is:
1456 0605319634999e13f2a6cb875
605319634999e13f2a6cb875- 154false
- 236false
- 348true
- 445false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "48"
Q: There are two towers on a horizontal plane. The top of one tower makes an angle of 60 degrees from the horizontal on the original floor of the second tower. And the top of the second tower makes an angle of 30 degrees from the horizontal on the original floor of the first tower. Find the ratio of the height of the Towers.
1442 05f76cacde487e60dced914fd
5f76cacde487e60dced914fd- 13: 1true
- 22 : 3false
- 33 : 2false
- 44 : 1false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "3: 1"
Q: The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?
1440 05f2bd33e21de6a117aeb967e
5f2bd33e21de6a117aeb967e- 1$$ {150\sqrt{3}}$$false
- 2$$ {200\sqrt{3}}$$true
- 3$$ {100\sqrt{3}}$$false
- 4$$ {50\sqrt{3}}$$false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ {200\sqrt{3}}$$"
Q: From the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is:
1399 064c764d0b6a5e472e26dcbce
64c764d0b6a5e472e26dcbce- 1120(2-√3)false
- 2120(√3-1)false
- 380(√3-1)false
- 480(2-√3)true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "80(2-√3)"
Q: The angle of elevation of the top of a tower from the top of a building whose height is 680 m is 45° and the angle of elevation of the top of same tower from the foot of the same building is 60°. What is the height (in m) of the tower?
1384 064b4f48636fc1bf576504f42
64b4f48636fc1bf576504f42- 1340(3 + √3)true
- 2310(3 - √3)false
- 3310(3 + √3)false
- 4340(3 - √3)false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "340(3 + √3)"
Q: Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 300 and 600. If the ships are $$230 \sqrt { 3} \ $$ m apart, then find the height of the light house (in m).
1377 0649542311a612ce001e7a28c
649542311a612ce001e7a28c- 1175.4false
- 2165.2false
- 3172.5true
- 4180.5false
- Show AnswerHide Answer
- Workspace
- SingleChoice

