alexandra2273
alexandra2273 alexandra2273
  • 14-01-2024
  • Mathematics
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Determine the value of y in the diagram. 7 cm 64° y Give your answer correct to 1 decimal place.​

Determine the value of y in the diagram 7 cm 64 y Give your answer correct to 1 decimal place class=

Respuesta :

jimrgrant1 jimrgrant1
  • 14-01-2024

Answer:

y ≈ 16.0

Step-by-step explanation:

using the cosine ratio in the right triangle

cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{7}{y}[/tex] ( multiply both sides by y )

y × cos64° = 7 ( divide both sides by cos64° )

y = [tex]\frac{7}{cos64}[/tex] ≈ 16.0 ( to 1 decimal place )

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