(3) slide presentation that walks through the utilization of the SOH CAH TOA formulas, including how to plug functions into the calculator.

1. Using SOH CAH TOA
To solve for O:
Look at what is known and what is being solved
for to determine which formula to use.
Angle (Θ) = 30°
H= 40” H = 40”
O=?
SOH CAH TOA:
O?
SOH can be used-
S = O/H
Sin(30)= O/40
Θ=30°
Plug the formula into a scientific calculator:
A?
Sin 3 0 = 0.5

2. Continue to solve by using basic Algebra:
Angle = 30°
Hypotenuse is 40”
S = O/H
40”
Sin(30) = O/40
O=20”
.5 = O/40
Multiply both sides by 40 to solve for O:
(.5) x 40 = (O/40) x 40 30°
20 = O
So the length of the opposite side is 20”

3. Now solve for Adjacent: SOH CAH TOA
In this case, cosine or tangent could be
used.
CAH: Cos(30) = A/H
Cos(30) = A/40
(.866) = A/40
(.866) x 40 = (A/40) x 40
34.64=A
H = 40” Adjacent side is equal to 34.64”
O = 20” TOA: Tan(30) = O/A
(.577) = 20/A
(.577) x A=( 20/A) x A
30° (.577 x A) = (20)
(.577 x A) /.577 = (20) /.577
A=? A = 34.66
Adjacent side is equal to 34.66”
The slight difference is due to rounding up or
down , and van be avoided by following through
on the calculator with given answers rather than
rounding up or down.