Trigonometry & Co-ordinate Geometry Test

Result

Trigonometry & Co-ordinate Geometry Test - 1

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Weekly Quiz Competition

Question 1
1 / -0.25

A

B

C

D

Solution
Question 2
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4cos²60° – sin⁴30° is equal to

A
15/16

B
√3 + √2

C
1

D
2/√3

Solution
Question 3
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The value of sin45° × cos45° is

A
1/2

B
1/4

C
√2

D
√3

Solution
Question 4
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The angles of elevation of an aeroplane flying vertically above the ground as observed from the two consecutive stones 2 km apart are 45° and 60°. The height of the aeroplane above the ground is

A

B

C

D

Solution

Let A and D are two stones so that AD = 2 km and BC is the height of the aeroplane from the ground.

Let DC = x km. So, in ΔBAC
Question 5
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The height of a tower is 200 m. When the angle of elevation of the sun changes from 45° to 60°, the shadow of the tower becomes shorter by x m. Find the value of x.

A

B

C

D

Solution

Let BC is the height of the tower and AD = x metres

In ΔBAC
Question 6
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The value of the expression

A
4.5

B
3

C
2.5

D
2

Solution
Question 7
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If 5 sin 8 θ = 5/8, then find the value of cosθ.

A
√14/3

B
√39/8

C
5

D
6

Solution
Question 8
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tan 860° = ?

A
tan 40°

B
– tan 40°

C
cos 40°

D
cot 40°

Solution
Question 9
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485° lies in quadrant

A
1st

B
2nd

C
3rd

D
4th

Solution

485° = 360 + 90 + 35.

So it lies in 2nd quadrant
Question 10
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From a tower 100 m high, the angle of depression of a car is 30°. Find how far the car is from the tower

A
100√3 m

B
100 m

C
100 √2 m

D
50 √2 m

Solution