Question

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

Answer 1

Answer:

13.3 = t

31.3= s

Step-by-step explanation:

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

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

sin(23°) = $\frac{t}{34}$

34sin(23°) = t

13.3 = t

cos(23°) = $\frac{s}{34}$

34cos(23°) = s

31.3= s