Question

5 multiple choice 1 point solve for x. round to the nearest hundredth. tan51° = \frac{x}{14.8} 9.31 18.28 0.08 11.5

Explanation:

Step1: Isolate \(x\)

Multiply both sides of the equation \(\tan51^{\circ}=\frac{x}{14.8}\) by \(14.8\). So, \(x = 14.8\times\tan51^{\circ}\).

Step2: Calculate \(\tan51^{\circ}\) and find \(x\)

We know that \(\tan51^{\circ}\approx1.2349\) (using a calculator). Then \(x=14.8\times1.2349\).

$$x = 14.8\times1.2349=18.27652\approx18.28$$

Answer:

18.28