9514 1404 393
Answer:
8.6 cm
Step-by-step explanation:
We notice the hypotenuse is given, and the desired length is of the side opposite the given angle.
The mnemonic SOH CAH TOA reminds you of the relevant relationship:
Sin = Opposite/Hypotenuse
sin(35°) = x/(15 cm) . . . . . . fill in the given information
We can multiply by 15 cm to find the value of x.
x = (15 cm)sin(35°)
x ≈ 8.6
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For those inclined to copy this answer to a different question, we suggest ...
y = (15 cm)cos(35°) ≈ 12.3 cm
