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Find x and y.

A. x = 15, y = 15root3


B. x = 15root3, y = 15


C. x = 30root3, y = 30


D. x = 30, y = 30root3

Find x and y. A. x = 15, y = 15root3 B. x = 15root3, y = 15 C. x = 30root3, y = 30 D-example-1

2 Answers

1 vote

Answer:

The correct answer is A. x = 15, y = 15√3

Explanation:

1. Let's solve for y, using the Law of the Cosines, this way:

We have the Δ ABC with m ∠B= 120° and AB and BC = 30

AC ² = 30² + 30² - 2 * 30 * 30 * Cos 120°

AC ² = 900 + 900 + 2 * 30 * 30 * - 0.5

AC ² = 1,800 + 900

AC ² = 2,700

AC = √2,700

AC = √900 * 3

AC = 30 √3

y = AC/2 = 30√3/2 = 15√3

2. Let's solve for x, using the Pythagorean theorem, this way:

x² = 30² - (15√3)²

x² = 900 - (225 * 3)

x² = 900 - 675

x² = 225

x = √225 = 15

The correct answer is A. x = 15, y = 15√3

User Yash Dayal
by
8.1k points
7 votes

Answer: A

Explanation:

cos 60° = x/30

X = 15

tan 30° = x/y

tan 30° = 15/y

Y = 15*√3

User Josh Powell
by
8.3k points

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