Imagine that you are outside one sunny day and are standing 10 feet away from a tree that is 8 feet tall. Which function correctly represents the angle θ you make with the tree?

The solution for this problem would be:

1) The side opposite you is the height of the tree (8)

2) The side adjacent to you is the distance to the tree (10)

Use the SOH-CAH-TOA mnemonic to figure out you want TOA

tan = opposite/adjacent

tan θ = 8/10

tan θ =.8

θ = arctan (.8)

θ ≈ 38.65980825° or 38.66°