Question # 1

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

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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 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

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

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Circle

Hyperbola

Ellipse

Parabola

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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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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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

Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

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 triangle has six

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side

elements

angle

tangents

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

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20 m

40 m

60 m

80 m

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

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

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70 m

85 m

35 m

None of these

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

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

The law of tangents is ______

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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

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 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 process of finding the unknown elements in triangle is called the

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solution of the triangle

Mean differnece

Engineering distance

angle of depressin

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

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A triangle which is not right is called an ______ triangle

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Acute

Obtuse

Oblique

None of these

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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

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

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