| Class | 10 |
| Chapter | Some Application of Trigonometry |
| Subject | Math |
| Category | MCQ |
Class 10 Math Chapter 9 MCQ Question Answer
1. A tower stands vertically on the ground. From a point on the ground which is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 30° . Then the height of the tower is
(A) 15√3
(B) 10√3
(C) 5√3
(D) 45√3
Answer
Ans. (C) 5√3
2. The ratio of the length of a rod and its shadow is 1:√3. The angle of elevation of the sum is:
(A) 90°
(B) 30°
(C) 60°
(D) 45°
Answer
Ans. (B) 30°
3. The angles of elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it are complementary. Then the height of the tower is
(A) 2m
(B) 4m
(C) 6m
(D) 8.625m
Answer
Ans. (C) 6m
4. A boy is traveling from a point towards a tower. He travelled 2 unit distance when angle of elevation changes from 30° to 60°. Now how much more distance he should have to travel to reach exactly at the base of tower.
(A) √3 unit
(B) 1 unit
(C) 0.5 unit
(D) √2 unit
Answer
Ans. (B) 1 unit
5. A boy is traveling from a point towards a tower. He travelled 2 unit distance when angle of elevation changes from 30° to 60°. What is the height of tower?
(A) √3 unit
(B) 1 unit
(C) 0.5 unit
(D) √2 unit
Answer
Ans. (A) √3 unit
6. If the height of a vertical wall is 4m. A ladder is leaned against wall at the angle of depression 15°. Then the length of ladder is
(A) 4.5√3m
(B) 5m
(C) 3m
(D) 4√3m
Answer
Ans. (B) 5m
7. A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Then the height of the tree is
(A) 8√3m
(B) 16√3m
(C) 8√2m
(D) none of the above
Answer
Ans. (A) 8√3m
8. The shadow of a tower standing on a level plane is found to be 40m longer when the sun’s altitude is 45°, than when it is 60°. The height of the tower is
(A) 30(3 + √3) m
(B) 40(3 + √3) m
(C) 20(3 + √3) m
(D) 10(3 + √3) m
Answer
Ans. (C) 20(3 + √3) m
| Also Read | Class 10 Math NCERT Solution |
| Also Read | Class 10 Important Questions [Latest] |