2 years ago

PLZ HELPDONT TROLL IM NICE

Mathematics

1 answer:

marysya [2.9K]2 years ago

7 0

Answer:

0.25y +7y

Step-by-step explanation:

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<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

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$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

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$Y \approx 12.321^{\circ}$

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

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