Question # 1

E-radius corresponding to < A 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

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The law of sines

The law of consines

The law of tangents

None of these

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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If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

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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 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

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

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In circle

Circum circle

Escribed circle

None of these

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 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

120° degrees are equal to how many radians?

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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

In-radius is denoted by

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r

η

r2

R

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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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

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

e-radii are denoted by

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η

r2

r3

All of these

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The law of sines

The law of tangents

The pythagorus theorem

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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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

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

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

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Circle

Hyperbola

Ellipse

Parabola

If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

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150𝜊 20'

132𝜊 35'

101𝜊 25'

160𝜊 50'

E-radius corresponding to < C 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

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

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The law of of sines

The law of tangents

The law of consines

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

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

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