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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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Filed Under: Simplification
Exam Prep: Bank Exams

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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Filed Under: Simplification
Exam Prep: Bank Exams

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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Filed Under: Simplification
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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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Filed Under: Simplification
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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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Filed Under: Area
Exam Prep: Bank Exams

Q:

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

A) 6/7 B) 7/6
C) 5/6 D) 6/5
 
Answer & Explanation Answer: B) 7/6

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Filed Under: Simplification
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Q:

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

A) 50° B) 60°
C) 80° D) 120°
 
Answer & Explanation Answer: C) 80°

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A) 30° B) 45°
C) 60° D) 90°
 
Answer & Explanation Answer: C) 60°

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Filed Under: Simplification
Exam Prep: Bank Exams