Quiz – 4

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Question 1

Time: 00:00:00
If tanϕ + sinϕ = m, tanϕ − sinϕ = n, Find the value of m2 - n2

2√mn

2√mn

4√mn

4√mn

m-n

m-n

2mn

2mn

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Question 2

Time: 00:00:00
A student is standing with a banner at the top of a 100 m high college building. From a point on the ground, the angle of elevation of the top of the student is 60° and from the same point, the angle of elevation of the top of the tower is 45°. Find the height of the student.

35 m

35 m

73.2 m

73.2 m

50 m

50 m

75 m

75 m

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Question 3

Time: 00:00:00
If Cos x – Sin x = √2 Sin x, find the value of Cos x + Sin x:

√2 Cos x

√2 Cos x

√2 Cosec x

√2 Cosec x

√2 Sec x

√2 Sec x

√2 Sin x Cos x

√2 Sin x Cos x

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Question 4

Time: 00:00:00
A tall tree AB and a building CD are standing opposite to each other. A portion of the tree breaks off and falls on top of the building making an angle of 30°. After a while it falls again to the ground in front of the building, 4 m away from foot of the tree, making an angle of 45°. The height of the building is 6 m. Find the total height of the tree in meters before it broke.

27√3 + 39

27√3 + 39

12√3 + 10

12√3 + 10

15√3 + 21

15√3 + 21

Insufficient Data

Insufficient Data

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Question 5

Time: 00:00:00
A flag is hoisted on top of a building of height 7√3 m. A man of height √3 m, standing on the ground, sees the top and bottom of the flag pole at 2 different angles of elevation that are found to be complementary. If the man is standing √135 m away from the building, find the height of the flag pole.

3√3 m

3√3 m

1.5√3 m

1.5√3 m

2/√3 m

2/√3 m

6/√3 m

6/√3 m

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