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HELP ME PLEASE THIS IS HARD

HELP ME PLEASE THIS IS HARD-example-1
User Scanny
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1 Answer

2 votes

It can help to draw a picture. (Personally, I'd draw it with AC horizontal, and BC vertical, but my triangle solver had its own idea.)

Since this is a right triangle, you know B is the complement of A.

... B = 90° - A = 58.7°

You know from the mnemonic SOH CAH TOA that the tangent of an angle is the ratio of the Opposite side to the Adjacent side:

Tan = Opposite/Adjacent

This tells you that

... tan(31.3°) = a/b

... a = b·tan(31.3°) = (42.1 cm)·0.60801

... a ≈ 25.6 cm

The same mnemonic tells you ...

... Cos = Adjacent/Hypotenuse

... cos(31.3°) = b/c

... c = b/cos(31.3°) = (42.1 cm)/0.85446

... c ≈ 49.3 cm

HELP ME PLEASE THIS IS HARD-example-1
User Wicke
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5.0k points