Question

trig #1
find the missing side.
4
x
41°
6.1
5.3
3.5
4.6

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan A=\frac{BC}{AC}\). Here, \(BC = 4\), \(A = 41^{\circ}\), and \(AC=x\). So, \(\tan41^{\circ}=\frac{4}{x}\).

Step2: Solve for \(x\)

We know that \(\tan41^{\circ}\approx0.8693\). Then \(x=\frac{4}{\tan41^{\circ}}\). Substitute \(\tan41^{\circ}\approx0.8693\) into the formula: \(x=\frac{4}{0.8693}\approx4.6\).

Answer:

4.6