Base Leg

How do I find length of a right triangle’s base, given 2 angles and one leg?

Given a right triangle with Angle A=25 deg, Angle C=90 Degrees, and knowing the length of the leg opposite angle A equals 4 inches, how do I find the length of the base leg of the triangle? (Of course, Angle B=55 degrees, taking 180-(A+C))

1st method :

tan A = 4 / b, where b = base leg

tan 25 = 4 / b

b = 4 / tan 25 = 8.58 in

2nd method : law of sines

4 / sin A = b / sin 65

b = 4 * sin 65 / sin 25

b = 8.58 in

sanbren JJ Downwind, base leg, final, Side slip and landing

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