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Q:

From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?

A) 720	B) 960
C) 840	D) 1030

Answer & Explanation Answer: B) 960

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3	B) 30(√3 + 1)
C) 40(√3 – 1)	D) 50(√3 – 1)

Answer & Explanation Answer: C) 40(√3 – 1)

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Q:

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

A) 200	B) 200√3
C) 100√3	D) 250

Answer & Explanation Answer: B) 200√3

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Filed Under: Height and Distance
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Q:

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

A) 1	B) sin ( A + B – C)
C) cos ( B + C – A)	D) 0

Answer & Explanation Answer: D) 0

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Q:

What is the value of $[(\sin 59 ° \cos 31 ° + \cos 59 ° \sin 31 °) \div (\cos 20 ° \cos 25 ° - \sin 20 ° \sin 25 °)] ?$

A) 1/√2	B) 2√2
C) √3	D) √2

Answer & Explanation Answer: D) √2

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Q:

What is the value of sin (630 + A) + cos A?

A) √3/2	B) 1/2
C) 0	D) 2/√3

Answer & Explanation Answer: C) 0

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Q:

What is the value of $\tan (\frac{π}{4} + A) \times \tan (\frac{3 π}{4} + A) ?$

A) 1	B) 0
C) cot A/2	D) – 1

Answer & Explanation Answer: D) – 1

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Q:

What is the value of $[(\cos^{3} 2 θ + 3 \cos 2 θ) \div (\cos^{6} θ - \sin^{6} θ)]$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: D) 4

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