1. TOA
If you're growing yarrow, which needs direct sunlight you need to know the angle at which to place it where the sun will hit it directly at noon through the window.
Since you're given opposite and adjacent you use TOA since it has both opposite and adjacent.
To find an angle the formula is Tan^-1(opposite/adjacent.)=θ
In this case the formula is Tan^-1(10/15)=θ
To find an angle the formula is Tan^-1(opposite/adjacent.)=θ
In this case the formula is Tan^-1(10/15)=θ
Therefore the angle at which you put the yarrow pot is 34°
2. CAH
If an oak tree fell and the broken half was 25 feet and landed 20 feet from the base what is the angle of dpression?
You're given the adjacent and hypotenus so you use Cos^-1(adjacent/hypotenus)=θ
So the formula for this question is Cos^-1(20/25)=θ
So the formula for this question is Cos^-1(20/25)=θ
So the angle of depression is 37°
3. SOH
Say you have a sunflower that was 12 feet tall but it broke 3 feet from the base. What is the angle of depression?
You know the length of the opposite and hypotenuse so you use Sin^-1(opposite/hypotenuse)=θ
So the specific formula is Sin^-1(3/12)=θ
So the specific formula is Sin^-1(3/12)=θ
So the angle of depression is 14.5°