Question # 1

120° degrees are equal to how many radians?

Choose an answer

The law of sines is

Choose an answer

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

Choose an answer

b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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

Choose an answer

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

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

Choose an answer

57𝜊

-48𝜊

27𝜊

53𝜊

Choose an answer

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is

Choose an answer

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

Choose an answer

Angle of depression

Angle of elevation

Acute angle

Obtuse angle

Choose an answer

R

2R

r

2r

Ifθ= 60° then

Choose an answer

sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

Choose an answer

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

Choose an answer

In-circle

Circum circle

Escribed circle

None of these

Choose an answer

The law of sines

The law of tangents

The pythagorus theorem

None of these

If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is

Choose an answer

Obtuse

Acute

Right angle

Isosceles

The process of finding the unknown elements in triangle is called the

Choose an answer

solution of the triangle

Mean differnece

Engineering distance

angle of depressin

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

Choose an answer

If you are looking a high point from the ground, then the angle formed is

Choose an answer

Angle of elevation

Angle of depression

Right angle

Horizon

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

Choose an answer

10 m

15 m

20 m

None of these

Choose an answer

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

Choose an answer

E-radius corresponding to < B is

Choose an answer

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

Choose an answer

150𝜊 20'

132𝜊 35'

101𝜊 25'

160𝜊 50'

A triangle which is not right is called an ______ triangle

Choose an answer

Acute

Obtuse

Oblique

None of these

If Cosθ=0, thenθ= ______

Choose an answer

nπ/2

(2n + 1)π/2

(2n - 1)π/2

(4n + 1)π/2

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?