Searching for "angle"

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

Q:

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

A) 60√3 B) 30√6
C) 60√2 D) not know
 
Answer & Explanation Answer: D) not know

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

Q:

ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ∠BEC?

A) 15 B) 30
C) 25 D) 10
 
Answer & Explanation Answer: A) 15

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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQRS is a square whose side is 20 cm. By joining opposite vertices of PQRS are get four triangles. What is the sum of the perimeters of the four triangles?

A) 40√2 B) 80√2 + 80
C) 40√2 + 40 D) 40√2 + 80
 
Answer & Explanation Answer: B) 80√2 + 80

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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQR is a right angled triangle in which PQ = QR. If the hypotenuse of the triangle is 20 cm, then what is the area (in cm2) of the triangle PQR?

A) 100√2 B) 100
C) 50√2 D) 50
 
Answer & Explanation Answer: B) 100

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Filed Under: Area
Exam Prep: Bank Exams

Q:

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?

A) 196 B) 30√19
C) 40√17 D) 35√21
 
Answer & Explanation Answer: B) 30√19

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Filed Under: Area
Exam Prep: Bank Exams

Q:

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

A) 40 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: C) 50

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

A) 32/√3 B) 32√3
C) 64/√3 D) None
 
Answer & Explanation Answer: D) None

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