B)
C)
D)
Here’s How to Crack It
Start by drawing triangle ABC.
Next, label what you can. You don’t know the actual side lengths, but because cos ABC = , you do
know the relationship between the side adjacent to angle ABC and the hypotenuse. You can plug in for this
relationship: Make BC (the side adjacent to the angle) 12 and AB (the hypotenuse) 13:
You need to find tan ABC, which means you need . You already know the adjacent side is 12,
but you still need the side opposite, AC. Use the Pythagorean Theorem to find the missing side:
a^2 + b^2 = c^2
122 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5