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Luden [163]
3 years ago
10

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

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

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}

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