Grade 11 Math: Sine Ratio Worksheet

Grade 11 Math: Sine Ratio

Read each question carefully and answer to the best of your ability. Show all your work for full credit. Round your answers to two decimal places where appropriate.

1. In a right-angled triangle, the sine of an angle is defined as the ratio of which two sides?

2. If sin(θ) = 0.5, what is the approximate value of θ in degrees?

3. The sine ratio is only applicable to   triangles.

4. In a right-angled triangle, the side opposite the right angle is called the  .

5. The value of sin(90°) is  .

6. For the right-angled triangle shown below, find sin(A) and sin(B). Round your answers to two decimal places.

7. In a right-angled triangle, if the hypotenuse is 10 cm and one angle is 30°, find the length of the side opposite the 30° angle. Round your answer to two decimal places.

8. A ladder 8 meters long leans against a wall, making an angle of 65° with the ground. How high up the wall does the ladder reach? Round your answer to two decimal places.

9. In a right-angled triangle, the side opposite an angle is 7 units long, and the hypotenuse is 12 units long. Find the measure of the angle. Round your answer to one decimal place.

10. A kite string is 50 meters long and makes an angle of 55° with the ground. Assuming the string is taut, what is the height of the kite above the ground? Round your answer to two decimal places.