Searching for "angle"

Q:

What is the measure of the central angle of the sector whose area is 462 sq cm and radius of the circle is 21 cm?

A) 90° B) 60°
C) 30° D) 120°
 
Answer & Explanation Answer: D) 120°

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Filed Under: Area
Exam Prep: Bank Exams

Q:

What is the altitude of an equilateral triangle whose side is 12 cm?

A) 6√3 cm B) 3√3 cm
C) 6√2 cm D) 4√2 cm
 
Answer & Explanation Answer: A) 6√3 cm

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Q:

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

A) 88.24 B) 106.71
C) 92.15 D) 112.64
 
Answer & Explanation Answer: C) 92.15

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Filed Under: Height and Distance
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Q:

The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?

A) 84.14 B) 93.3
C) 98.25 D) 120.24
 
Answer & Explanation Answer: B) 93.3

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Q:

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A) 50(3 + √3) B) 100(√3 + 1)
C) 150 D) 100√3
 
Answer & Explanation Answer: A) 50(3 + √3)

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Q:

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in sq.cm) of the shaded region?

A) 10√3 B) 12√3
C) 9√3 D) 14√3
 
Answer & Explanation Answer: B) 12√3

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Filed Under: Volume and Surface Area
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Q:

In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

A) 162√3 B) 216√3
C) 108√3 D) 54√3
 
Answer & Explanation Answer: C) 108√3

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Q:

In the given figure, 3 semicircles are drawn on three sides of triangle ABC. Ab = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in sq.cm) of the shaded part?

A) 588 B) 324
C) 294 D) 286
 
Answer & Explanation Answer: C) 294

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