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Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

A) 210	B) 140√3
C) 210√3	D) 150

Answer & Explanation Answer: A) 210

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

A) 50√3	B) 100√3
C) 200√3	D) 300√3

Answer & Explanation Answer: B) 100√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A) -cos y	B) -sin y
C) cos x	D) tan y

Answer & Explanation Answer: A) -cos y

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Filed Under: Simplification
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Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

A) 3√2	B) 3/√2
C) 1/√2	D) √2

Answer & Explanation Answer: D) √2

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Filed Under: Simplification
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Q:

What is the value of [sin (90– 10θ) – cos (p – 6θ)]/ [cos (p/2 – 10θ) – sin (p – 6θ)]?

A) tan 2θ	B) cot 2θ
C) cot θ	D) cot 3θ

Answer & Explanation Answer: B) cot 2θ

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Filed Under: Simplification
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Q:

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

A) 0	B) tan2x
C) 1	D) 2 tan x

Answer & Explanation Answer: B) tan2x

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Filed Under: Simplification
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Q:

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

A) cos x sin y	B) (sin y)/(sin x)
C) sin z	D) sin x tan y

Answer & Explanation Answer: B) (sin y)/(sin x)

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Filed Under: Simplification
Exam Prep: Bank Exams

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