Question # 1

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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

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

E-radius corresponding to < B 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

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The law of of sines

The law of tangents

The law of consines

None of these

E-radius corresponding to < C is

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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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In-radius is denoted by

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r

η

r2

R

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A triangle has six

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side

elements

angle

tangents

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

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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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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 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

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°

The law of sines is

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When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

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

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

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 circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

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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30°

60°

45°

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

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

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