Question

answer attempt 1 out of 2

Explanation:

Step1: Use the cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 37^{\circ}\), the adjacent side \(DE = 0.6\), and the hypotenuse \(DF=x\). So, \(\cos37^{\circ}=\frac{0.6}{x}\).

Step2: Solve for \(x\)

We know that \(\cos37^{\circ}\approx0.8\). Then \(x=\frac{0.6}{\cos37^{\circ}}\). Substitute \(\cos37^{\circ}\approx0.8\) into the formula: \(x=\frac{0.6}{0.8}\).

Step3: Calculate the value of \(x\)

\(x = 0.75\)

Answer:

\(0.75\)