Question

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solve for ( x ).
write your answers as a simplified radical and a decimal rounded to the nearest tenth. enter your answer as an equation, for instance ( x= ) your answer. if the answer is an integer value, leave the simplified radical box empty.
simplified radical:
decimal: ( 15.6 \times ) syntax error: this is not an equation.

Explanation:

Step1: Identify adjacent side/hypotenuse

$\cos(30^\circ) = \frac{x}{18}$

Step2: Solve for x (radical)

$x = 18 \cdot \cos(30^\circ) = 18 \cdot \frac{\sqrt{3}}{2} = 9\sqrt{3}$

Step3: Calculate decimal value

$9\sqrt{3} \approx 9 \cdot 1.732 = 15.588 \approx 15.6$

Answer:

Simplified radical: $x = 9\sqrt{3}$
Decimal: $x = 15.6$