Question

question solve for x. round your answer to the nearest tenth. answer attempt 1 out of 2

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 35^{\circ}\), adjacent side \(x\), hypotenuse \(21\). So \(\cos(35^{\circ})=\frac{x}{21}\).

Step2: Solve for \(x\)

Multiply both sides by \(21\): \(x = 21\times\cos(35^{\circ})\). Using a calculator, \(\cos(35^{\circ})\approx0.8192\). Then \(x=21\times0.8192 = 17.2032\).

Answer:

\(17.2\)