Question

(trigonometry) solve for x

Answer 1

Answer:

$x = 21 \sin(38 \degree) \\ x = 12.93$

Answer 2

Answer:  17

The more accurate value is roughly x = 16.5482258257411

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Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.