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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β)	B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ	D) h(cotα+cotβ)

Answer & Explanation Answer: D) h(cotα+cotβ)

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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m	B) 30(√3-1) m
C) 30(√3+1) m	D) 60(√3-1) m

Answer & Explanation Answer: C) 30(√3+1) m

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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec	B) 230.93 m/sec
C) 235.85 m/sec	D) 236.25 m/sec

Answer & Explanation Answer: B) 230.93 m/sec

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Q:

The value of $8 (\sin^{6} θ + \cos^{6} θ) - 12 (\sin^{4} θ + \cos^{4} θ)$ is equal to

A) 20	B) -20
C) 4	D) -4

Answer & Explanation Answer: D) -4

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Q:

If $\tan^{4} θ + \tan^{2} θ = 1$ then the value of $\cos^{4} θ + \cos^{2} θ$ is

A) 2	B) 0
C) 1	D) -1

Answer & Explanation Answer: C) 1

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Q:

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: C) 2

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Q:

If $a^{2} \sec^{2} x - b^{2} \tan^{2} x = c^{2}$ then the value of $\sec^{2} x + \tan^{2} x$ is equal to (assume b2 ≠ a2 )

A) b2-a2+2c2b2+a2	B) b2+a2-2c2b2-a2
C) b2-a2-2c2b2+a2	D) b2-a2b2+a2+2c2

Answer & Explanation Answer: B) b2+a2-2c2b2-a2

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Q:

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

A) √3	B) 1/√3
C) 1	D) 2+√2

Answer & Explanation Answer: C) 1

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