Question

Find y. Round to nearest hundredth. Use sin(51)=(y)/(12)

Answer 1

To find y in the equation sin(51) = y/12, multiply both sides by 12 and use a calculator to compute sin(51). The approximate value of y is 9.33 when rounded to the nearest hundredth.

Step-by-step explanation:

To find y when given sin(51) = y/12, we use the definition of the sine function in a right-angled triangle, where sin of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Here, the angle is 51 degrees and the length of the hypotenuse is 12 units.

To isolate y, multiply both sides of the equation by 12:

• y = 12 × sin(51)

Using a calculator, we find that:

• y ≈ 12 × 0.7771 (sin(51) rounded to four significant figures)
• y ≈ 9.3252

Therefore, y is approximately 9.33 when rounded to the nearest hundredth.