Pythagoras Theorem & Trigonometry Ratios

For the given triangle, which of the following is true?

[DO NOT USE A CALCULATOR.]

What is the value of x in the triangle?

• 15

• 16

• 19

• 21

[DO NOT USE A CALCULATOR.]

In the diagram shown on the right, O is the centre of the circle.

If the perpendicular distance from O to AB is 8 cm, what is the radius of the circle?

• 4 cm

• 6 cm

• 8 cm

• 10 cm

For triangle PQR below, which of the following statements is true for the marked ∠R?

• PR is the hypotenuse and QR is the opposite side.

• PR is the hypotenuse and PQ is the adjacent side.

• PR is the hypotenuse and RQ is the adjacent side.

• QR is the hypotenuse and PQ is the opposite side.

[DO NOT USE A CALCULATOR.]

The right-angled triangle shown is isosceles.

The value of tan 45° is ________.

• 0.5

• 1

• 1.5

• 2

[DO NOT USE A CALCULATOR.]

From the given triangle, the value of sin 30° is ________.

• 1

• 2

[DO NOT USE A CALCULATOR.]

From the given triangle, the value of cos 60° is ______.

• 2

Find the value of x (correct to 3 significant figures) in the triangle shown.

• 6.43

• 13.1

• 11.9

• 7.66

• x = 15

• x = 16

• x = 30

• x = 34

At a playground, a slide is built such that it makes an angle of 50° with the ground.

If the top of the slide is 1.5 m above the ground, what is the length of the slide?

• 1.26 m

• 1.15 m

• 1.96 m

• 1.79 m