1. Trigonometry: Answers to 1dp Trigonometry: Answers to 1dp 1.) 2.) b
Sin x = O H
Cos x = A H
Tan x = O A
Trigonometry:
Answers to 1dp
Sin x = O H
Cos x = A H
Tan x = O A
1.) ) b
1.) ) b 7m 7m
40˚
33˚
40˚
33˚
4cm
4cm a a
3.) )
3.) ) d d 6m 6m
35˚
35˚
4.3m
51˚
4.3m
51˚ c c
5.) )
5.) ) 2m 2m e
45˚
67˚ f e
45˚
67˚ f 4m 4m
7.) )
7.) ) h h
4.5m
4.5m
53˚
53˚
45˚
8.9m
45˚
8.9m g g
9.) ) j
9.) ) j k k
22˚
22˚
7cm
15˚
15˚
8.1m
7cm
8.1m
11.) )
11.) )
18cm
27˚
11m n
18cm
27˚
11m n
20˚
20˚ m m

2. Trigonometry: Answers to 1dp Trigonometry: Answers to 1dp 1.) 2.) 16cm
Sin x = O H
Cos x = A H
Tan x = O A
Trigonometry:
Answers to 1dp
Sin x = O H
Cos x = A H
Tan x = O A
1.) )
16cm
1.) )
16cm 6m 6m x˚ x˚
28cm x˚ x˚
28cm
3cm
3cm
3.) )
3.) )
55m
55m
12m x˚
12m
28m x˚ x˚
28m x˚ 7m 7m
5.) )
5.) )
22m
22m x˚ x˚
18m x˚ x˚
18m
12cm
14cm
12cm
14cm
7.) )
7.) )
13cm
13cm
46cm
46cm x˚ x˚
15cm x˚ x˚
15cm
34cm
34cm
9.) )
39m
9.) )
12m
39m
12m x˚ x˚
57m x˚
13m
57m x˚
13m
11.) )
11.) )
35km
35km x˚
12m 8m x˚
12m 8m x˚ x˚
25km
25km

3. Which side is coloured Red?
Opposite
Adjacent
Hypotenuse

4. Which side is coloured Red?
Opposite
Adjacent
Hypotenuse

5. Which side is coloured Red?
Opposite
Adjacent
Hypotenuse

6. Which side is coloured Red?
Opposite
Adjacent
Hypotenuse

7. Which side is coloured Red?
Opposite
Adjacent
Hypotenuse

8. 7cm 
5cm
Sin
Tan
Cos

9. 8cm 
5cm
Sin
Tan
Cos

10. 
9cm
6cm
Sin
Tan
Cos

11. 10cm
8cm 
Sin
Tan
Cos

12. 10cm 
9cm
Sin
Tan
Cos

13. 10cm 
8cm
Sin
Tan
Cos

14. 
10cm
9cm
Sin
Tan
Cos

15. 
9cm
6cm
Sin
Tan
Cos

16. 9cm 
6cm
Sin
Tan
Cos

17. x
32˚ 4
x = 7.7 x˚ 4 7
x = 10.0 4
32˚ x 7
x = 55.2 x˚ 5
x = 6.3
x = 6.4 7 x
65˚

18. x
32˚ 4
x = 7.7 x˚ 4 7
x = 10.0 4
32˚ x 7
x = 55.2 x˚ 5
x = 6.3
x = 6.4 7 x
65˚

19. x
65˚ 7
x = 4.7
x = 35.5 4 x˚ 7
47˚ 6 x
x = 44.4
x = 34.8 7 x˚ 5
x = 5.6 x
47˚ 6

20. x
65˚ 7
x = 4.7
x = 35.5 4 x˚ 7
47˚ 6 x
x = 44.4
x = 34.8 7 x˚ 5
x = 5.6 x
47˚ 6

21. A B
Cos
Sin
Which ratio should I use? x 3
23° D C
Pythagoras
Tan

22. A B
Cos
Sin
Which ratio should I use? y
21° 6 D C
Pythagoras
Tan

23. A B
Cos
Sin
Which ratio should I use? 10 y 6 D C
Pythagoras
Tan

24. A B D C 4 x 35 35 x 4 Which triangle is this calculation from?
x = 4sin35 x D C 35 4 35 4 x

25. A B D C 4 3   4 3 Which triangle is this calculation from?
Cos  = 0.75 D C 4  x 3 4 3

26. A B D C x 3   4 4 3 x Which triangle is this calculation from?

27. Beal is East of Abbot
Chesterfield is south of Abbot
Beal is 24km from Chesterfield on a bearing of 034°.
Find the distance of Beal from Abbot to 2 decimal places.
Drawing
Calculation
Use Sin
Sin 34 = x 24 x A B
x = 13.42km C
034°
24km

28. Two towns; Abbot and Beal are 24km apart.
The bearing from Abbot to Chesterfield is 180°
Chesterfield is 17km from Abbott
Find the distance from Chesterfield to Beal to 2 decimal places.
Drawing
Calculation N
180° A B
24km
90°
17km x C