Question

Which equation can be used to find B in the triangle below?

tanB=8/10 tanB=8/6 cosB=10/6 cosB=10/8

Answer 1

9514 1404 393

Answer:

(b) tan B = 8/6

Explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relevant relationships:

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Then angle B is involved in tangent and cosine relationships this way:

tan B = 8/6 . . . . . . matches 2nd choice

cos B = 6/10 . . . . . matches no choices

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Additional comment

Both of the offered cosine choices give a cosine value that is greater than 1. The cosine of a real angle is never greater than 1, so those can be rejected immediately.