Question

If A=16º 55' and c=13.7, find a.

Answer 1

Answer:

c. 4.0

Step-by-step explanation:

It's a rectangle triangle and we have the measure of the hypotenuse (13.7) and an angle (16 degrees 55 minutes or 16.92 degrees) and we need to find the length of the opposite side of the angle.

Those elements are related through the sin of the angle.

$sin(angle) = \frac{Opposite side}{Hypotenuse}$

So, if we want to get the opposite side...

${Opposite side} = sin(angle) * {Hypotenuse} = sin(16.92) * 13.7 = 0.291 * 13.7 = 3.9867$

If we round up to the first decimal, we do get 4.0.