Question # 1

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

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

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

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

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

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 of sines

The law of tangents

The law of consines

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

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

The law of tangents is ______

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The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

E-radius corresponding to < A is

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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

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°

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The law of consines

The law of sines

The law of tangents

None of these

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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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 consines

The law of tangents

None of these

Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

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

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Circle

Hyperbola

Ellipse

Parabola

A triangle has six

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side

elements

angle

tangents

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The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

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30°

60°

45°

None of these

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

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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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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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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