Question

Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary)

Answer 1

Answer:

x = 5$\sqrt{3}$

Step-by-step explanation:

Using the tangent ratio in the outer right triangle

and tan30° = $\frac{1}{\sqrt{3} }$ = $\frac{\sqrt{3} }{3}$

tan30° = $\frac{opposite}{adjacent}$ = $\frac{x}{15}$

Multiply both sides by 15

15 × tan30° = x

x = 15 × $\frac{\sqrt{3} }{3}$ = 5$\sqrt{3}$