Solve the following:

Question

Solve the right triangle where the right angle is at vertex C. Express the results to the number of significant digits justified by the given information.

1. β = 10°, b = 22

Answer 1

Since angle B is 10 and angle C is right angle = 90, then angle A = 180 - 90 - 10 = 80

Use the law of sines to find the length of side A:

sin(80) = sin(10)

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A 22

A = 22 * sin(80)/sin(10) = 124.7682 ~ 125

Use Pythagorean Theorem to find the length of the hypotenuse (Side C).

C = sqrt(22^2 + 125^2) = 126.92 ~ 127