sin 190 over 20 equals sin 47 over x.
sin 190/20 = sin 47/x
x sin 190 = 20 sin 47
x * -.1736 = 10 * .7313
solve for x
do i have to multiply or divide?
To solve the equation sin(190°)/20 = sin(47°)/x, we will use the properties of fractions and trigonometric ratios.
First, let's solve for x. We'll start by cross-multiplying:
(sin(190°) * x) = (sin(47°) * 20)
Now, rearrange the equation to isolate x:
x = (sin(47°) * 20) / sin(190°)
To evaluate sin(47°) and sin(190°), we need to use a calculator. Ensure your calculator is set to degree mode, and calculate the values:
sin(47°) = 0.7314 (rounded to four decimal places)
sin(190°) = -0.3420 (rounded to four decimal places)
Substituting these values back into the equation:
x = (0.7314 * 20) / -0.3420
Now, multiply 0.7314 by 20:
x = 14.628 / -0.3420
Divide 14.628 by -0.3420:
x ≈ -42.783
Therefore, the approximate value of x is -42.783.