Question # 1

If Cosθ=0, thenθ= ______

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(4n + 1)π/2

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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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

x = r2, y = 1 are the parametric equation of

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Circle

Hyperbola

Ellipse

Parabola

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

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

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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The law of sines

The law of consines

The law of tangents

None of these

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

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

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At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

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

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Circumcirle

Incircle

Escribed circle

unit circle

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

E-radius corresponding to < B is

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For any equilateral r :R :η :r1 :r2 :r3 =

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1:2:3:4:5

1:2:3:3:3

1:2:4:4:4

2:1 :2 :2 :2

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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The law of tangents is ______

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A triangle which is not right is called an ______ triangle

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Acute

Obtuse

Oblique

None of these

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

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

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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

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37m

97m

101m

70m

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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

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57𝜊

-48𝜊

27𝜊

53𝜊

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

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