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°

fwms@lil_ben06

step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x