Question

Which of the following is equivalent to the value of x?14258°O 14 cos(58)O 14 sin(58)14sin(58)14cos(58)

Answer 1

We have a right triangle

We can see that we need a trigonometric function that relates the leg adjacent to an angle and the hypotenuse.

So, we must use the cosine

`\cos \alpha=\frac{adjacent}{\text{hypotenuse}}`

Now, we must calculate the cosine for the angle of 58°

`\cos (58)=(14)/(x)`

Finally, we must solve the equation for x

`\begin{gathered} \cos (58)=(14)/(x) \\ x\cos (58)=14 \\ x=(14)/(\cos (58)) \end{gathered}`

So, the answer is the last option.