Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 100

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

The area of the equilateral triangle which contains three coins of unity radius is

A

B

C

D

Solution
Question 3
4 / -1

For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is

A

B

C

D

Solution
Question 4
4 / -1

The angle of elevation of the top of a tower at a point on the ground is 30^o. If on walking 20 metres toward the tower, the angle of elevation become 60^o, then the height of the tower is

A
10 metres

B

C

D
None of these

Solution
Question 5
4 / -1

The angle of elevation of tower at a point distant d metres from it base is 30^o. If the tower is 20 metres high, then the value of d is

A

B

C

D

Solution
Question 6
4 / -1

The angle of elevation of the top of the tower observed from each of the three points A, B, C on the ground, forming a triangle is the angle α. If R is the circum radius of the triangle ABC, then the height of the tower is

A

B

C

D

Solution
Question 7
4 / -1

The angle of elevation of the top of a tower from a point A due south of the tower is α and from a point B due east of the tower is β. If AB = d, then the height of the tower is

A

B

C

D

Solution
Question 8
4 / -1

A person standing on the bank of a river observes that the angle subtend by a tree on the opposite bank is 60^o. When he retires 40 metres from the bank, he finds the angle to be 30^o. The breadth of the river is

A
20 m

B
40 m

C
30 m

D
60 m

Solution
Question 9
4 / -1

A vertical pole consists of two parts, the lower part being one third of the whole. At a point in the horizontal plane through the base of the pole and distance 20 metres from it, the upper part of the pole subtends an angle whose tangent is 1/2. The possible heights of the pole are

A
20 m and 20√3 m

B
20 m and 60 m

C
16 and 48 m

D
None of these

Solution
Question 10
4 / -1

A

B

C

D

Solution