Question # 1

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The law of consines is

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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

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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?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

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The law of sines

The law of consines

The law of tangents

None of these

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A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

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Area of inscribed circle is

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π R2

π η2

π r22

π r2

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

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5.47m

2m

7m

6.29m

E-radius corresponding to < C is

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The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

E-radius corresponding to < B is

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The law of tangents is ______

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A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

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40 m

30 m

20 m

60 m

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

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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The law of sines

The law of consines

The law of tangents

None of these

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30°

60°

45°

None of these

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

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Circumcirle

Incircle

Escribed circle

unit circle

In-radius is denoted by

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r

η

r2

R

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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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

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116 m

200 m

216 m

None of these

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Mathematics ECAT Pre Engineering Chapter 14 Application of Trigonometry Online Test MCQs With Answers

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