40
Minutes
61
Questions
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Marking
Q1. If the length of the shadow of a tower is increasing, then the angle of elevation of the sun
is also increasing
is decreasing
remains unaffected
Don’t have any relation with length of shadow
Q2. The angle of elevation of the top of a building from a point on the ground, which is 30 m away from the foot of the building, is 30°. The height of the building is:
10 m
30/√3 m
√3/10 m
30 m
Q3. If at some time, the length of the shadow of a tower is √3 times its height, then the angle of elevation of the sun, at that time is:
15°
30°
45°
60°
Q4. The shadow of a tower is equal to its height at 10-45 a.m. The sun’s altitude is
30°
45°
60°
90°
Q5. If the altitude of the sun is 60°, the height of a tower which casts a shadow of length 90m is
60m
90m
60√3m
90√3m
Q6. The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is
√3 m
2√3 m
5√3m
10√3 m
Q7. The _ of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.
line of sight
angle of elevation
angle of depression
none of these
Q8. The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will
also get doubled
will get halved
will be less than 60 degree
None of these
Q9. If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building:
Increases
Decreases
Do not change
None of the above
Q10. A ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
15√3 m
15√3/2 m
15/2 m
15 m
Q11. A plane is observed to be approaching the airport. It is at a distance of 12 km from the point of observation and makes an angle of elevation of 60°. The height above the ground of the plane is
6√3 m
4√3 m
3√3 m
2√3 m
Q12. The top of a broken tree has its top touching the ground at a distance of 10m from the bottom. If the angle made by the broken part with the ground is 30°, then the length of the broken part is
20m
20√3m
10√3m
20/√3m
Q13. The upper part of a tree is broken by the wind and makes an angle of 30° with the ground. The distance from the foot of the tree to the point where the top touches the ground is 5 m. The height of the tree is
10√33 m
5√33 m
√3 m
√3/5 m
Q14. 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?
35 m
140 m
60.6 m
20.2 m
Q15. If the height of a tower and the distance of the point of observation from its foot,both, are increased by 10%, then the angle of elevation of its top
increases
decreases
remains unchanged
have no relation.
...and 46 more challenging questions available in the interactive simulator.