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How can I solve the statement below?

Solve for angle A in the right triangle below, given that b = 2.5 and c = 6. (Note: Drawing is not necessarily to scale.)

How can I solve the statement below? Solve for angle A in the right triangle below, given that b = 2.5 and c = 6. (Note: Drawing is not necessarily to scale.) class=

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sqdancefan

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Answer:

  A ≈ 65.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations associated with pairs of sides. For angle A, given sides b and c are the adjacent side and the hypotenuse, respectively. The appropriate relation is ...

  Cos = Adjacent/Hypotenuse

  cos(A) = b/c

  A = arccos(b/c) = arccos(2.5/6)

  A ≈ 65.4°

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