Question

Look at the triangle below.

Answer 1

Answer:

a = 32.48538491

b = 25.59883264

Step-by-step explanation:

To find the length of a, use the sine function:

$sin\alpha = \frac{opposite}{hypotenuse}$

$sin 38 = \frac{20}{a} \\a = \frac{20}{sin38}\\a = 32.48538491$

To find the length of b, use tangent:

$tan\alpha = \frac{opposite}{adjacent}$

$tan 38 = \frac{20}{b} \\b = \frac{20}{sin38}\\b = 25.59883264$