danielahchf
danielahchf danielahchf
  • 06-12-2018
  • Mathematics
contestada

What is the best approximation of the length of segment QR?
(Note: tan 80° = 5.67)

9.12cm

10.36cm

11.34cm

12.61cm

What is the best approximation of the length of segment QR Note tan 80 567 912cm 1036cm 1134cm 1261cm class=

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sqdancefan
sqdancefan sqdancefan
  • 06-12-2018

Answer:

11.34cm

Step-by-step explanation:

The mnemonic SOH CAH TOA tells you the relationship between the side opposite an angle and the side adjacent:

... Tan = Opposite/Adjacent

That is, for your triangle, ...

... tan(80°) = QR/(2 cm)

Multiplying this equation by 2 cm gives ...

... tan(80°)·(2 cm) = QR = 5.67·2 cm = 11.34 cm

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