Checkpoint 2 ? Trig Ratios: Finding Sides

⏱ 20 min📚 Year 9

Covers: Trigonometric ratios (SOH CAH TOA), the sine, cosine and tangent ratios, and finding an unknown side. All side answers to 2 d.p.

Checkpoint 2

Test your understanding of Lessons 6-10

1 Easy In a right-angled triangle, the sine ratio is defined as:

A) adjacent ÷ hypotenuseB) opposite ÷ adjacentC) opposite ÷ hypotenuseD) hypotenuse ÷ opposite

2 Easy In a right triangle the angle is $30°$ and the hypotenuse is $10$ cm. The side opposite the angle is $10\sin 30° =$

A) $5.00$ cmB) $8.66$ cmC) $5.77$ cmD) $20.00$ cm

3 Medium The angle is $40°$ and the hypotenuse is $12$ cm. The side adjacent to the angle is $12\cos 40° =$

A) $7.71$ cmB) $9.19$ cmC) $10.07$ cmD) $15.66$ cm

4 Medium The angle is $35°$ and the adjacent side is $8$ cm. The side opposite the angle is $8\tan 35° =$

A) $4.59$ cmB) $5.60$ cmC) $6.55$ cmD) $11.43$ cm

5 Medium The angle is $25°$ and the side opposite it is $7$ cm. The hypotenuse is $7 \div \sin 25° =$

A) $2.96$ cmB) $7.72$ cmC) $16.56$ cmD) $6.34$ cm

6 Medium You know the angle, the opposite side, and want the adjacent side. Which ratio should you use?

A) sineB) cosineC) tangentD) Pythagoras' theorem

7 Hard A ramp makes a $60°$ angle with the ground and its sloping length (hypotenuse) is $20$ m. The horizontal distance along the ground is $20\cos 60° =$

A) $10.00$ mB) $17.32$ mC) $34.64$ mD) $40.00$ m

8 Hard A guy wire of length $15$ m runs from the top of a pole to the ground, making a $50°$ angle with the ground. The height of the pole (opposite the angle) is $15\sin 50° =$

A) $9.64$ mB) $17.88$ mC) $19.58$ mD) $11.49$ m

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Subjects · Maths · Unit 3

Created for NSW Stage 5 students.