Question

solve for x.
cos(20°) = \frac{4}{x}

x = ?

round to the nearest hundredth.

Explanation:

Step1: Rearrange the equation

We have the equation $\cos(20^{\circ})=\frac{4}{x}$. To solve for $x$, we can cross - multiply to get $x\times\cos(20^{\circ}) = 4$. Then, we isolate $x$ by dividing both sides of the equation by $\cos(20^{\circ})$, so $x=\frac{4}{\cos(20^{\circ})}$.

Step2: Calculate the value

We know that $\cos(20^{\circ})\approx0.9397$. Substitute this value into the formula for $x$: $x = \frac{4}{0.9397}\approx4.26$.

Answer:

$4.26$