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3 years ago

Use the figure to find x

Mathematics

1 answer:

Blababa [14]3 years ago

7 0

9514 1404 393

Answer:

x = 5

Step-by-step explanation:

The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(30°) = (5/2)/x

x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1

x = 5

Additional comment

In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...

y = (5/2)√3

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