cos(31)=11/x

Solve for x (1 point) Responses 5.7 5.7 21.4 21.4 15.7 15.7 10.1

To solve the equation cos(31) = 11/x for x, we can start by multiplying both sides of the equation by x:

x * cos(31) = 11

Next, we divide both sides of the equation by cos(31):

x = 11 / cos(31)

Using a calculator or trigonometric table, we can find that cos(31) ≈ 0.8480481.

Substituting this value into the equation:

x = 11 / 0.8480481

Calculating:

x ≈ 12.9815

Therefore, the value of x is approximately 12.9815.