sofiaharper sofiaharper
  • 06-06-2020
  • Mathematics
contestada

Find sin, where the angle is shown
Give the exact value, not a decimal approximation

Find sin where the angle is shown Give the exact value not a decimal approximation class=

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jimrgrant1 jimrgrant1
  • 06-06-2020

Answer:

sinΘ = [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex]

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = [tex]\sqrt{625}[/tex] = 25

Thus

sinΘ = [tex]\frac{24}{25}[/tex]

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