# The sine ratio

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## Lesson details

### Key learning points

- In this lesson, we will develop an understanding of trigonometric ratios focusing on sine.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 6 Questions

Q1.

a is half the size of the hypotenuse when 𝑥 = ?

30 degrees

45 degrees

Q2.

b = 10 cm when 𝑥 = ?

30 degrees

45 degrees

Q3.

What is the size of the angle marked x ?

15 degrees

60 degrees

Q4.

What is the length of the hypotenuse?

3.5 cm

5 cm

Q5.

What is the length of angle x?

18 cm

9 cm

Q6.

What is the size of angle x?

45 degrees

60 degrees

### 6 Questions

Q1.

Fill in the gaps: In a right-angled triangle, the sine of an acute angle is equal to the length of the side that is opposite to the angle, divided by the length of the …………………...

adjacent

opposite

Q2.

Which is the correct equation?

Option 1

Option 3

Q3.

What is the length of the unknown side in the triangle below?

10 cm

5 cm

Q4.

Which image shows the hypotenuse correctly labelled?

Option 1

Option 2

Q5.

Which triangle shows the adjacent side to angle a?

Option 1

Option 2

Q6.

Which triangle shows the opposite side to angle a?

Option 1

Option 3