Seudónimo Seudónimo
  • 17-03-2022
  • Mathematics
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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 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-03-2022

Answer:

  • A = 40°
  • a = 9.0
  • b = 10.7

Step-by-step 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
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