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Using sohcahtoa

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

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

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Using sohcahtoa Using sohcahtoa Presentation Transcript

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