NAME:______

Year 9 Mathematics Trigonometry Revision

CAS calculators permitted

One bound reference allowed

Time allowed: 50 minutes

Section A – Multiple Choice(1 mark each)

Circle the correct response.

Question 1

sin 16is closest to:

A 0.280

B 0.276

C 0.275

D -0.280

E 0.282

Question 2

The correct length, to one decimal place, of the side marked x is:

A 13.6 m

B 6.3 m

C 7.0 m

D 6 cm

E 2.8 cm

Question 3

To determine the angle of depression in the following diagram, the correct expression to use would be:

A

B

C

D

E

Question 4

A ramp 1.4 m long reaches a point 82 cm above the ground. The angle the ramp makes with the ground, to two decimal places, is:

A 35

B 35.85

C 36

D 54

E 54.90

Question 5

A tree 34 m high casts a shadow 12 m long. The angle of elevation of the sun is closest to:

A 70

B 21

C 69

D 19

E 71

Question 6

In the right angled triangle ABC, the length of AB correct to one decimal place is:
A 4.5
B 5.9
C 8.3
D 9.1
E 10.9 /

Section B – Short Answer

Diagrams must be drawn for worded questions to receive full marks.

Question 1(1)

Label the following right angled triangle and then decide which trigonometric ratio should be used to solve for the unknown.

Question 2(1)

Using the given angle as a starting point, label the two sides that would be needed to use the sine ratio.

Question 3(1)

Use your calculator to find the following correct to 4 decimal places:

sin 38°

Question 4(3)

The angle from the base of a tree to its top is 52 and it is measured 5 m away from the base. Find the height of the tree, correct to 1 decimal place.

Question 5(2)

Find the value of the pronumeral in this diagram, correct to three decimal places.

Question 6(3)

A ladder leaning against a wall makes an angle of 63 with the ground. If the ladder reaches 1.95 m up the wall, how long is the ladder, correct to 2 decimal places.

Question 7(3)

A ladder reaches 2.8 m up a vertical wall while making an angle of 15 with the wall. How long is the ladder, correct to 1 decimal place?

Question 8(2)

Find the size of the marked angle in this triangle in terms of degree..

Question 9(3)

A wheelchair ramp is 8.5 m long and rises 1.2 m above the horizontal. What is the angle the ramp makes with the horizontal, correct to two decimal places.