Question

find m. 30° 20 cm 60° m write your answer in simplest radical form. centimeters

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, for an angle of \(60^{\circ}\), the cosine ratio is \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 60^{\circ}\), the adjacent side is \(m\), and the hypotenuse is \(20\) cm.
So, \(\cos60^{\circ}=\frac{m}{20}\).

Step2: Substitute the value of \(\cos60^{\circ}\)

We know that \(\cos60^{\circ}=\frac{1}{2}\).
Substituting into the equation \(\frac{1}{2}=\frac{m}{20}\).

Step3: Solve for \(m\)

Cross - multiply: \(m=\frac{1\times20}{2}\).

Answer:

\(10\) centimeters