Height and Distance Questions Practice Question and Answer
8 Q: Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation of the top are 30° and 60°. The height of each pole is:-
1267 05f5b0349dc518b408a41c7d7
5f5b0349dc518b408a41c7d7- 1true
- 2false
- 3false
- 4false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. " "
Q: The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732)
1267 05dcbd87745ad6b59c82e6940
5dcbd87745ad6b59c82e6940- 11.464 mfalse
- 29.464 mfalse
- 33.648 cmfalse
- 45.464 mtrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "5.464 m"
Q: An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :
1262 0600a8dffbaeda263c3c88b13
600a8dffbaeda263c3c88b13- 1false
- 2false
- 3false
- 4true
- Show Answer
- Workspace
- SingleChoice
Answer : 4. " "
Q: The distance between two pillars is 120 meters. The height of one pillar is thrice of the other pillar. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the pillar is (use : √3 = 1.732 )
1261 05f0c22079b26c36beb2bf91c
5f0c22079b26c36beb2bf91c- 169.28false
- 2103.92true
- 334.64false
- 451.96false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "103.92"
Q: A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip?
1241 05f0c341a6d435560094339b6
5f0c341a6d435560094339b6- 130 (√3-1) ftfalse
- 218 (√3-1) ftfalse
- 310 (√3-1) fttrue
- 420 (√3-1) ftfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "10 (√3-1) ft "
Q: A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 ° to 60 °. After this the time required by the vehicle to reach the bottom of the hill is
1241 05f0c0d6bcec10557a8da9971
5f0c0d6bcec10557a8da9971- 113 min 40 sectrue
- 214 min 24 secfalse
- 312 min 20 secfalse
- 413 minfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "13 min 40 sec "
Q: An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan?
1226 05f0c2f546d43556009431d91
5f0c2f546d43556009431d91- 1201√3false
- 2305√3false
- 3216√3true
- 4105√3false
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "216√3 "
Q: A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:
1220 0606ed2fa556643278a7e1a44
606ed2fa556643278a7e1a44- 190false
- 245false
- 360false
- 430true
- Show Answer
- Workspace
- SingleChoice