Question

In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?

Answer 1

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Answer 2

It would be best to draw out whats being asked. I find it impossible to do it mentally myself.



so sin is opposite over hypotenuse

remember soh cah toa sin cos tan

opposoite of ANGLE A is what they gave you

8

hypotenuse is opposite the right angle
which is length ac

so sin a = 0.5

which ALSO = opposite over hypotenuse

which is 8/x

x must be equal to a number that makes the fraction equal to 0.5

16 makes them equal so ac = 16