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Solve the right triangle.
Round your answers to the nearest tenth.

Solve the right triangle. Round your answers to the nearest tenth.-example-1
User Roro
by
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1 Answer

5 votes

Answer:

  • A = 40°
  • a = 9.0
  • b = 10.7

Explanation:

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

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

__

In this triangle this means ...

sin(50°) = b/14 ⇒ b = 14·sin(50°) ≈ 10.7

cos(50°) = a/14 ⇒ a = 14·cos(50°) ≈ 9.0

Of course, the other acute angle, A, is the complement of the given one:

A = 90° -50° = 40°

So you have ...

  • A = 40°
  • a = 9.0
  • b = 10.7
User Ibel
by
7.5k points