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°

$\cos (58)=\frac{14}{x}$

Finally, we must solve the equation for x

$\begin{gathered} \cos (58)=\frac{14}{x} \\ x\cos (58)=14 \\ x=\frac{14}{\cos (58)} \end{gathered}$

So, the answer is the last option.