Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answer:

13.3 = t

31.3= s

Step-by-step explanation:

Remember that sinθ = [tex]\frac{opposite}{hypotenuse}[/tex], cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex], and tanθ = [tex]\frac{opposite}{adjacent}[/tex]. (A good mnemonic to remember this is SOH-CAH-TOA).

Knowing this is true, we can solve for t and s.

sin(23°) = [tex]\frac{t}{34}[/tex]

34sin(23°) = t

13.3 = t

cos(23°) = [tex]\frac{s}{34}[/tex]

34cos(23°) = s

31.3= s

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