This figure is right triangle A B C, with right angle at vertex C. Leg A C measures 4 units. Leg B C measures 3 units. Hypotenuse A B measures 5 units.

Triangle ABC

is shown. What is cos(<BAC)

?

1 answer

To find cos(<BAC), we need to use the definition of cosine in a right triangle.

cos(<BAC) = adjacent side / hypotenuse

In this case, the adjacent side to angle <BAC is leg AC, which measures 4 units and the hypotenuse is AB, which measures 5 units.

Therefore, cos(<BAC) = 4 / 5 = 0.8