Question

which equation can be used to solve for c?
a
c
35°
b
5 in.
c

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, the cosine of an angle is defined as the adjacent side divided by the hypotenuse. For angle \(B = 35^{\circ}\), the adjacent side to angle \(B\) is \(BC = 5\) in and the hypotenuse is \(c\).
The formula for cosine is \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\).

Step2: Substitute the values into the formula

Substituting \(\theta = 35^{\circ}\), adjacent \(= 5\), and hypotenuse \(=c\) into the cosine formula \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\), we get \(\cos35^{\circ}=\frac{5}{c}\).

Answer:

\(\cos35^{\circ}=\frac{5}{c}\)