Height and Distance Questions Practice Question and Answer
8 Q: The upper part of a tree is broken over by the wind makes an angle of 60 ° with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?
636 05f0c2c15fce67160728a33c3
5f0c2c15fce67160728a33c3- 198.25false
- 2120.24false
- 384.14false
- 493.3true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "93.3 "
Q: A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of elevation of the top of the tower and the angle of depression of the foot of the tower are 60° and 30° respectively. The height of the tower is
976 05d70e5fc60d0a53645a4ad1b
5d70e5fc60d0a53645a4ad1b- 120 mfalse
- 230 mfalse
- 340 mtrue
- 450 mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "40 m"
Q: A pole stands vertically inside a scalene triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is same, then in ∆ABC, the foot of the pole is at the
1064 05f083c4c70ee59767c9f17cf
5f083c4c70ee59767c9f17cf- 1incentrefalse
- 2orthocenterfalse
- 3centroidfalse
- 4circumcentertrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "circumcenter "
Q: From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is
686 05d70e57bd8eebc768d1174ce
5d70e57bd8eebc768d1174ce- 1125√3false
- 2125(√3-1)true
- 3125/(√3-1)false
- 4125/(√3+1)false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "125(√3-1) "
Q: A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is
772 05d70e681d8eebc768d1176e9
5d70e681d8eebc768d1176e9- 115 mfalse
- 218 mtrue
- 316 mfalse
- 411 mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "18 m"
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is
814 05dcbd608f348e931548d079f
5dcbd608f348e931548d079f- 150 √ 3 mfalse
- 2$$ 50\over √3$$ mtrue
- 375 √3 mfalse
- 4$$ 75\over √3$$ mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "$$ 50\over √3$$ m"
Q: The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-
958 05e4cca1f701cfd31ff61c1b9
5e4cca1f701cfd31ff61c1b9- 172 mtrue
- 275 mfalse
- 360 mfalse
- 465 mfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "72 m"
Q: A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45 ° and 60 °, then the width of the river is
698 05f0c00c06d43556009426191
5f0c00c06d43556009426191- 1400√3mfalse
- 2$${400\over√3}m $$false
- 3$$200+{200\over√3}m $$true
- 4$$200-{200\over√3}m $$false
- Show AnswerHide Answer
- Workspace
- SingleChoice