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CSEC MCQ Trigonometry

Total questions: 20

Worksheet time: 18mins

Name
Class
Date
1.

A boat was travelling on a bearing of 2700. In what direction was it travelling?

a)

East

b)

West

c)

North

d)

South

2.

If the sum of the interior angles of a polygon is 4 right angles, then the polygon is a?

a)

triangle

b)

hexagon

c)

pentagon

d)

quadrilateral

3.

A boy stands 12 m from the foot of a building and observes the angle of elevation at the top of the building, (as shown in the diagram above. The approximate height of the building is?

a)

12 tan⁡40°12\ \tan40\degree

b)

1.6+12 sin⁡40°1.6+12\ \sin40\degree

c)

1.6+12 cos⁡ 40°1.6+12\ \cos\ 40\degree

d)

1.6+12 tan⁡40°1.6+12\ \tan40\degree

4.

In the isosceles triangle above, the value of x is

a)

40°40\degree

b)

80°80\degree

c)

100°100\degree

d)

140°140\degree

5.

The diagram above refers to the question below. With centre A, an arc BC is drawn. With centre B, the same radius, the arc PQ is drawn. What is the measure of <BAC?

a)

30°30\degree

b)

45°45\degree

c)

60°60\degree

d)

75°75\degree

6.

 In a triangle ABC, angle A=x°, and angle B=2x°. What is the size of angle C?In\ a\ triangle\ ABC,\ angle\ A=x\degree,\ and\ angle\ B=2x\degree.\ What\ is\ the\ size\ of\ angle\ C?  

a)

 45°45\degree  

b)

 60°60\degree  

c)

 (1803x)°\left(\frac{180}{3x}\right)\degree  

d)

 (180−3x)°\left(180-3x\right)\degree  

7.

in the diagram above AB and CD are parallel. Which of the following best describes the relationship between x and y?

a)

x=yx=y

b)

x>yx>y

c)

x+y>2xx+y>2x

d)

x+y<2xx+y<2x

8.

In the triangle above the value of x is?

a)

30°30\degree

b)

60°60\degree

c)

120°120\degree

d)

150°150\degree

9.

A plane is flying in a direction of 0450 and changes course in a clockwise direction to 1350. the angle through which the plane turns is?

a)

45°45\degree

b)

90°90\degree

c)

135°135\degree

d)

270°270\degree

10.

Which of the following statements best describe an equilateral triangle?

i. all sides are equal

ii. all angles are equal

iii. two sides are equal

iv. two angles are equal

a)

i and ii only

b)

ii and iii only

c)

iii only

d)

iv only

11.

from the triangle above: not drawn to scale, angle BAC=300 and AB=40m. The length BC, in metres, is

a)

40sin⁡ 30°40\sin\ 30\degree

b)

40 tan⁡ 30°40\ \tan\ 30\degree

c)

40 sin⁡ 60°40\ \sin\ 60\degree

d)

40 tan⁡ 60°40\ \tan\ 60\degree

12.

In the triangle ABC above, not drawn to scale, AB is 17cm, AC is 15cm, BC is x cm and angle BCA is 90 degrees. The value of x is?

a)

7

b)

8

c)

9

d)

12

13.

In the right angled triangle above, which trigonometric ratio is equal to

 48\frac{4}{8}  ?

a)

 sin⁡ x\sin\ x  

b)

 tan⁡ y\tan\ y  

c)

 cos⁡ x\cos\ x  

d)

 tan⁡ x\tan\ x  

14.

The diagram above shows a ladder 5 metres long, leaning against a vertical wall. The foot of the ladder is on the horizontal ground about 3 metres away from the wall. How far up the wall does the ladder reach?

a)

4 m

b)

6 m

c)

8 m

d)

15 m

15.

We use the Pythagoras theorem when...

a)

we have the length of two sides and need an angle

b)

we have a right angled triangle and the length of two sides and need the third

c)

we have any triangle with two lengths given and need the third

16.

We use the trigonometric ratios when

a)

a right angled triangle we have two lengths and an angle

b)

a right angled triangle with two angles and a length

c)

a right angled triangle with two lengths to find the third

17.

Which one is not a trigonometric ratio?

a)

sin⁡ x\sin\ x

b)

opposite

c)

tan⁡x\tan x

d)

cos⁡ x\cos\ x

18.

Which of the following shows the ratio for

 Sin xSin\ x  ?

a)

 oppositeadjacentt\frac{opposite}{adjacentt}  

b)

 adjacenthypotenuse\frac{adjacent}{hypotenuse}  

c)

 oppositehypotenuse\frac{opposite}{hypotenuse}  

d)

 adjacentopposite\frac{adjacent}{opposite}  

19.

Which ratio below represents tan ratio?

a)

oppositeadjacent\frac{opposite}{adjacent}

b)

adjacenthypotenuse\frac{adjacent}{hypotenuse}

c)

oppositehypotenuse\frac{opposite}{hypotenuse}

d)

adjacentopposite\frac{adjacent}{opposite}

20.

If each exterior angle of a regular polygon is 60 degrees, then the polygon is a...

a)

quadrilateral

b)

pentagon

c)

hexagon

d)

triangle