Answer:
AB =8.4
AC = 13.1
Explanation:
Use SOH CAH TOA, which means Sin= Opposite/Hypotenuse, Cosine= Adjacent/Hypotenuse, and Tangent= Opposite/Hypotenuse.
AB is the opposite compared to the angle, BC is the adjacent compared to the angle, and AC is the hypotenuse.
Write down what you know in the formulas:
theta = 40 degrees
BC = adjacent = 10
Plug them in to solve what you need:
AB is opposite, so use the tangent equation:
tangent (40 degrees) = AB / 10
AB =8.4
AC is the hypotenuse, so use the cosine equation:
cosine (40 degrees) = 10 / AC
AC = 13.1