Trigonometric skills

1

In this triangle, which side is the hypotenuse?

Diagram of a right-angled scalene triangle with abc labels and one angle marked as x°

2

Which side is the adjacent?

Diagram of a right-angled scalene triangle with abc labels and one angle marked as x°

3

Which side is the opposite?

Diagram of a right-angled scalene triangle with abc labels and one angle marked as x°

4

Which side is the adjacent?

Diagram of a right-angled scalene triangle with abc labels and one angle marked as x°

5

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

Diagram of a right-angled 10 x 8 x 6 scalene triangle with one angle marked as x°

6

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

Diagram of a right-angled 15 x 8 x 17 scalene triangle with one angle marked as x°

7

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

Diagram of a right-angled 7 x 11 scalene triangle with one angle marked as a°

8

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

Diagram of a right-angled 2.5 x 4 scalene triangle with one angle marked as a°

9

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

Diagram of a right-angled 12cm x bcm scalene triangle with one 61° angle

10

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

Diagram of a right-angled 5.2cm x bcm scalene triangle with one 74° angle

11

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

Diagram of a right-angled 15cm x Xcm scalene triangle with one 53° angle

12

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

Diagram of a right-angled 12.3cm x 5.1cm scalene triangle with one angle marked as x°

13

Calculate the size of x cm.

Diagram of a right-angled 2cm x Xcm scalene triangle with one 60° angle

14

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

Diagram of a right-angled 13.24cm x 10.5cm scalene triangle with one angle marked as x°

15

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

Diagram of a right-angled 21.75cm x Xcm scalene triangle with one 74° angle