Question # 1

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The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

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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The law of consines

The law of sines

The law of tangents

None of these

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

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

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In-circle

Circum cirle

Escribed circle

None of these

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

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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

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

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In-circle

Circum circle

Escribed circle

None of these

E-radius corresponding to < A is

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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

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

e-radii are denoted by

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η

r2

r3

All of these

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is

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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 you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

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The law of sines

The law of tangents

The pythagorus theorem

None of these

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

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60𝜊

40𝜊

41𝜊

30𝜊

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

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

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Obtuse

Acute

Right angle

Isosceles

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

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Circumcirle

Incircle

Escribed circle

unit circle

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R

2R

r

2r

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

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

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8, 15, 17

3, 4, 5

12, 15, 18

5, 12, 13

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

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62m

82m

73m

57m

A triangle has six

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side

elements

angle

tangents

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The law of sines

The law of consines

The law of tangents

None of these

The law of consines is

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The law of of sines

The law of tangents

The law of consines

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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