Final answer:
To solve the equation cos(80) = x/30, we use inverse cosine function and a proportion to find the value of x, which is approximately 5.208.
Step-by-step explanation:
To solve the equation cos(80) = x/30 and find the value of x, we can use the inverse cosine function (also known as arccosine) to find the angle of 80 degrees. The arccosine of 80 degrees is approximately 0.1736 radians. Now we can set up a proportion to find the value of x. We have:
cos(80) = x/30
Cross multiplying, we get:
x = 30 * cos(80) = 30 * 0.1736 ≈ 5.208
Therefore, the approximate value of x is 5.208.