kaileymarie4133 kaileymarie4133
  • 24-03-2019
  • Mathematics
contestada

A 20-foot support post leans against a wall, making a 70° angle with the ground. to the nearest tenth of a foot, how far up the wall will the support post reach

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laurellee27
laurellee27 laurellee27
  • 24-03-2019

Trigonometry

[tex]Sin\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Adjacent}{Opposite}[/tex]

[tex]S\frac{O}{H} C\frac{A}{H} T\frac{A}{O}[/tex]

You know the hypotenuse and you want to find the opposite therefore you use, sine.

[tex]Opposite = Sin(70) *{20}[/tex]

Opposite = 18.79385242

Opposite = 18.8 feet

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