Trigonometry helps solve problems involving right-angled triangles using the sine, cosine or tangent ratios. SOH CAH TOA is used to help remember the formulae.

In this triangle, which side is the hypotenuse?

A

B

C

Which side is the adjacent?

Which side is the opposite?

Which option is the correct ratio for \(\sin x^\circ\)?

\[\frac{6}{{10}}\]

\[\frac{8}{{10}}\]

\[\frac{8}{{6}}\]

Which is the correct radio for \(\tan x^\circ\)?

\[\frac{8}{{17}}\]

\[\frac{15}{{17}}\]

\[\frac{15}{{8}}\]

Calculate a°. Give your answer to 1 decimal place.

39.5°

50.4°

50.5°

32.0°

38.7°

51.3°

Calculate the size of side b cm correct to 3 decimal places.

5.818 cm

10.495 cm

21.649 cm

1.433cm

4.999cm

18.135cm

Calculate the size of \(x\) cm correct to 2 decimal places.

9.03cm

11.98cm

19.91cm

Calculate the size of \(x^\circ\) correct to 1 decimal place.

22.5°

24.5°

65.5°

Calculate the size of \(x\) cm.

1cm

1.7cm

3.5cm

Calculate the size of \(x^\circ\) correct to the nearest degree.

37°

41°

49°

Calculate the size of \(x\) cm correct to 1 decimal place.

6.0cm

20.9cm

75.9cm