Question

1. solve for x. 55° x 41

Explanation:

Step1: Use trigonometric ratio

Since we know the opposite side (41) and need to find the adjacent side \(x\) with respect to the angle \(55^{\circ}\), we use the tangent ratio \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). So \(\tan55^{\circ}=\frac{41}{x}\).

Step2: Solve for \(x\)

Rearrange the equation \(x = \frac{41}{\tan55^{\circ}}\). We know that \(\tan55^{\circ}\approx1.4281\). Then \(x=\frac{41}{1.4281}\approx28.7\).

Answer:

\(x\approx28.7\)