Sine and cosine ratios

12 questions

1. In a right triangle, if the hypotenuse is 25 cm and a second side is 15 cm, what is the length of the third side? (Use a calculator to help you.)
2. For this pair of triangles, can you determine whether they are similar without using side lengths?
3. What is cos(60ᵒ)?
4. In a right triangle, if the shortest sides are 40 cm and 96 cm, what is the length of the hypotenuse? (Use a calculator to help you.)
5. Which of the following statements is true for these triangles?
6. Would a triangle ABC with sides AB = 32cm, BC = 24cm, AC = 40cm be similar to the one shown in the diagram?
7. Which side would we label as 'adjacent' to the non-right angle shown?
8. In a right triangle, if you are provided with θ and the adjacent side, which function would you use to find the hypotenuse?
9. In a right triangle, if θ = 35ᵒ and the opposite side is 4 cm, what is the length of the hypotenuse to the nearest whole number?
10. In a right triangle, if you are provided with θ and the opposite side, which function would you use to find the adjacent side?
11. In a right triangle, if θ = 40ᵒ and the adjacent side is 9 cm, what is the length of the hypotenuse to the nearest whole number?
12. In a right triangle, if θ = 50ᵒ and the hypotenuse is 12 cm, what is the length of the adjacent side to the nearest whole number?

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