Question

right triangle abc is shown. which equation can be used to solve for c? sin(50°)=3/c sin(50°)=c/3 cos(50°)=c/3 cos(50°)=3/c

Explanation:

Step1: Recall the cosine formula

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\).

Step2: Identify the sides relative to the given angle

For angle \(B = 50^{\circ}\), the adjacent side is \(AC = 3\) m and the hypotenuse is \(AB=c\).
So, \(\cos(50^{\circ})=\frac{3}{c}\)

Answer:

\(\cos(50^{\circ})=\frac{3}{c}\) (the fourth option)