9514 1404 393
Answer:
a = 14.9
b = 11.1
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationships.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
In this triangle, that means ...
sin(48°) = b/a
cos(48°) = 10/a
Using the cosine relation, we can find 'a':
a = 10/cos(48°) ≈ 14.9
Then using the sine relation, we have ...
b = a·sin(48°) ≈ 11.1
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Additional comment
When computing 'b', the full precision value of 'a' should be used.
