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Precalculus: Note: Triangle may not be drawn to scale. Suppose a = 5 and b = 3 .

Precalculus: Note: Triangle may not be drawn to scale. Suppose a = 5 and b = 3 .-example-1
User Vergil
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1 Answer

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a = 5

b = 3

C = 90 degrees ( right angle)

Apply pythagorean theorem to find c:

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = √34

c= 5.83

Now, apply Trigonometric functions:

Sin A = opposite / hypotenuse

Sin A = a / c

Sin A = 5/ 5.83

A = arc sin (5 /5.83 )

A = 59.05°

All of the interior angles of a triangle add up to 180°

A + B + C = 180°

59.05 + B + 90 = 180

B= 180 -59.05 - 90

B= 30.95°

User Evan Lee
by
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