Question

Sinx=(16)/(20). Find sinZ in fraction and in decimal form.

Answer 1

To find sinZ, use the given information sinx = 16/20 and determine the reference angle. Then, use the reference angle to find sinZ.

Step-by-step explanation:

To find sinZ, we can use the given information that sinx = 16/20.

Since sin is a periodic function, we need to determine the reference angle. The reference triangle has a side of length 16 and a hypotenuse of length 20. We can use the Pythagorean Theorem to find the remaining side:

a² + b² = c² => a² + 16² = 20² => a² = 400 - 256 = 144 => a = 12

Now, we can find the value of sinZ using the reference angle:

sinZ = opposite/hypotenuse = a/c = 12/20 = 3/5

In decimal form, sinZ is approximately 0.6.