angie25544
angie25544 angie25544
  • 15-06-2020
  • Mathematics
contestada

In ΔPQR, the measure of ∠R=90°, RP = 61 feet, and PQ = 89 feet. Find the measure of ∠P to the nearest degree.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 02-10-2020

Answer:

  47°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Cos = Adjacent/Hypotenuse

The side adjacent to ∠P is the one with P in its name: RP. The hypotenuse is the side opposite the right angle, the side without the right-angle vertex in its name: PQ. So, ...

  cos(∠P) = RP/PQ = 61/89

  ∠P = arccos(61/89) ≈ 46.733°

  ∠P ≈ 47°

Answer Link
re79112
re79112 re79112
  • 13-02-2021

Answer:

47 degrees

Step-by-step explanation:

Answer Link

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