ECAT Pre Engineering MCQ Test With Answer for Chapter 14 Mathematics

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  A
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  B
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  C
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  D

A triangle which is not right is called an ______ triangle

• Acute A
• Obtuse B
• Oblique C
• None of these D

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

• 20 m A
• 40 m B
• 60 m C
• 80 m D

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

• Obtuse A
• Acute B
• Right angle C
• Isosceles D

• The law of of sines A
• The law of tangents B
• The law of consines C
• None of these D

• The law of sines A
• The law of tangents B
• The pythagorus theorem C
• None of these D

The law of sines can be used to solve

• Right angle triangle A
• Isosceles triangle B
• oblique triangle C
• haxagon D

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  A
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  B
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  C
• 
  D

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

• 57𝜊 A
• -48𝜊 B
• 27𝜊 C
• 53𝜊 D

• The law of consines A
• The law of sines B
• The law of tangents C
• None of these D

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  A
• 
  B
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  C
• 
  D

A circle passing through the vertices of any triangle is called

• Circumcirle A
• Incircle B
• Escribed circle C
• Unit circle D

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  A
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  B
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  C
• 
  D

If a, b, c are the measures of the sides of a triangle then

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  A
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  B
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  C
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  D

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  A
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  B
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  C
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  D

E-radius corresponding to < B is

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  A
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  B
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  C
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  D

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

• 116 m A
• 200 m B
• 216 m C
• None of these D

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

• Breadth of the river is twice the height of the tower A
• Breadth of the river an the height of the tower are the same B
• Breadth of the river is half of the height of the tower C
• None of these D

• The law of sines A
• The law of consines B
• The law of tangents C
• None of these D

If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

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  A
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  B
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  C
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  D

The law of sines is

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  A
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  B
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  C
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  D

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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  A
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  B
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  C
• 
  D

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  A
• 
  B
• 
  C
• 
  D

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

• 37m A
• 97m B
• 101m C
• 70m D

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

• 25m A
• 23m B
• 12m C
• 29m D

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  A
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  B
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  C
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  D

A circle drawn inside a triangle and touching its sides is called ______;

• Circumcirle A
• Incircle B
• Escribed circle C
• unit circle D

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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  A
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  B
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  C
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  D

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

• 
  A
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  B
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  C
• 
  D

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

• 60𝜊 A
• 40𝜊 B
• 41𝜊 C
• 30𝜊 D