Question

Write your answer in simple.st radical form​

Answer 1

Answer:

a = 3$\sqrt{6}$

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{a}{3\sqrt{2} }$ = $\sqrt{3}$ ( multiply both sides by 3$\sqrt{2}$ )

a = 3$\sqrt{2}$ × $\sqrt{3}$ = 3$\sqrt{6}$