Distance and Elevation Exercises 10

Today our topic of discussion is Distance and Elevation Exercises 10.

Distance and Elevation Exercises 10

 

 

Exercises 10

1. The square of the length of a stick is one third of its shadow length square. What is the angle of elevation of sun at the edge of the shadow.

1) 15°

2) 30°

3) 45°

4) 60°

2. What is the value of r in the picture?

 

 

1) √3/60

2) 60/√3

3) 60√2

4) 60√3

3. What is the elevation angle of point. P from the point O?

 

 

1) ∠QOB

2) ∠POA

3) ∠QOA

4) ∠POB

4. For which value of the angle of depression length of a stick and length of its’ shadow is equal?

1) 30 °

2) 45 °

3) 60 °

4) 90 °

According to the figure given here, answer 5 and 6.

 

 

5. What is the length of BC?

1) 4/(√(3)) metre

2) 4 metre

3) 4√(2) metre

4) 4√3 metre

6. What is the length of AB?

1) 4/√3 metre

2) 4 metre

3) 4√2 metre

4) 4√3 metre

7. Angle of elevation –

(i) if 30° then base > perpendicular.

(ii) if 45° then base = perpendicular.

(iii) if 60° then base < perpendicular.

Which one of the following is correct?

1) i and ii

2) ii and iii

3) i and iii

8. In the adjacent picture-

 

 

(i) ∠ DAC is an angle of depression (ii) ∠ACB is an angle of elevation

(iii) ∠DAC = ∠ ACB

Which one of the following is correct?

1) i and ii

2) ii and iii

3) i and iii

9. What is the other name is of geoline?

1) perpendicular line

3) Lying line

2) Parallel line

4) Vertical line

10. If the angle of the elevation of the top of the miner is 30° at a point on the ground and the height is 26 metre, then find the distance of the plane from the Miner.
11. If the top of a tree is 20 metre distance from the foot on the ground at any point on the ground and the angle of elevation is 60° find the height of the tree.

12. Forming 45° angle with ground an 18 metre long ladder touches the top of the wall, find the height of the wall.
13. If the angle of depression at a point on the ground 20 metre from the top of the house is 30° then find the height of the house.

14. The angle of elevation of a tower at any point on the ground is 60 deg If moved back 25 metre, the angle of elevation becomes 30° , find the height of the tower.
15. The angle of elevation of a tower becomes 60° from 45° by moving 60 metre towards a minar. Find the height of the minar.
16. A man standing at a place on the bank of a river observesd that the angle of elevation of a tower exactly opposite to him on the other bank was 60° Moving 32 metre back he observed that the angle of elevation of the tower was 30° Find the height of the tower and the width of the river.
17. A pole of 64 metre long breaks into two parts without complete separation and makes an angle 60° with the ground. Find the length of the broken part of the pole.
18. A tree is broken by a storm such that the broken part makes an angle of 30° with the other and touches the ground at a distance of 12 metre from it. Find the length of the whole tree.
19. Standing any where on the bank of a river, a man observed that the angle of elevation of a 150 metre long tree exactly straight to him on the other bank is 30°. The man started for the tree by a boat. But he reached at 10 metre away from the tree due to current.

1) According to the stem show the above description by a figure.

2) Find the width of the river.

3) Find the distance from the starting point to the destination.

20. Forming 60° angle with ground an 16 metre long ladder touches the top of the vertical wall.

1) According to the stem show the above description by a figure.

2) Find the height of the wall.

3) How far does the foot of the ladder need to be moved along horizontal line so that it still touches the wall and makes an angle of 30° with ground?

21. In the figure, CD 96 metre.

 

 

1) Find the measurement of ∠CAD in degree.

2) Find the length of BC.

3) Find the perimeter of ΔACD.

See more:

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• Principle of calorimetry