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Application to trigonometry

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Q.1 . The height of a tree is square root 3 times the length of its shadow. Find the angle of elevation of the sun

a)

30⁰

b)

60⁰

c)

45⁰

d)

None of these

2.

Q.2. The angle of elevation of the top of a tower from a point on the ground and at a distance of 160 m from its foot, is found to be 60o. Find the height of the tower.

a)

277. 12m

b)

260m

c)

160m

d)

180m

3.

Q.3. A kite is attached to a string. Find the length of the string, when the height of the kite is 60 m and the string makes an angle 30o with the ground

a)

160 m

b)

120 m

c)

60 m

d)

100 m

4.

Q.4. The upper part of a tree, broken over by the wind, makes an angle of 45o with the ground and the distance from the root to the point where the top of the tree touches the ground is 15 m. At What height above the ground the tree is broken .

a)

45 m

b)

30 m

c)

15 m

d)

60 m

5.

Q.5. The angle of elevation of the top of an unfinished tower at a point distance 80 m from its base is 30o. How much higher must the tower be raised so that its angle of elevation at the same point may be 60o?

a)

92.37 m

b)

80 m

c)

200 m

d)

120 m

6.

Q.6. At a particular time, when the sun's altitude is 30o, the length of the shadow of a vertical tower is 45 m. Calculate

a)

25.98 m

b)

20 m

c)

30 m

d)

45 .56 m

7.
a)

30⁰

b)

60⁰

c)

90⁰

d)

45⁰

8.

Q.8. 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 calculate the height of the wall

a)

5 m

b)

7m

c)

5.5 m

d)

7.5 m

9.

Q.9. The angle of elevation of the top of a building from the foot of a tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

a)

15 m

b)

16.67 m

c)

20 m

d)

23 m

10.

Q.10.An observer 1.5m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45 degrees. What is the height of the chimney?

a)

28 m

b)

26.5 m

c)

30 m

d)

40 m