Q:

The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

A) 193.22 B) 144.04
C) 176.12 D) 161.05
 
Answer & Explanation Answer: D) 161.05

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Filed Under: Height and Distance
Exam Prep: Bank Exams

4 1523
Q:

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

A) 46 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: D) 48

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Filed Under: Time and Distance
Exam Prep: Bank Exams

0 1022
Q:

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

A) sin (A/2) cos A B) cot (A/2)
C) tan (A/2) D) sin A cos (A/2)
 
Answer & Explanation Answer: C) tan (A/2)

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1222
Q:

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

A) cot (θ/2) B) tan (θ/2)
C) sin θ D) cos θ
 
Answer & Explanation Answer: B) tan (θ/2)

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Exam Prep: Bank Exams

5 1778
Q:

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

A) 2√3 B) 2/√3
C) 1/√3 D) √3
 
Answer & Explanation Answer: B) 2/√3

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Exam Prep: Bank Exams

0 1398
Q:

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

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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Exam Prep: Bank Exams

0 783
Q:

What is the value of [2 cot × (p  A)/2]/[1 + tan2× (2p  A)/2]?

A) 2 sin2 A/2 B) cos A
C) sin A D) 2 cos2 A/2
 
Answer & Explanation Answer: C) sin A

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Exam Prep: Bank Exams

0 931
Q:

What is the value of (32 cos6x  48 cos4x + 18 cos2x  1)/[4 sin x cos x sin (60  x) cos (60  x) sin (60 + x) cos (60 + x)]?

A) 4 tan 6x B) 4 cot 6x
C) 8 cot 6x D) 8 tan 6x
 
Answer & Explanation Answer: C) 8 cot 6x

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Exam Prep: Bank Exams

0 1196