Question

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

Answer 1

Trigonometry

`Sin(Opposite)/(Hypotenuse) Cos(Adjacent)/(Hypotenuse) Tan(Adjacent)/(Opposite)`

`S(O)/(H) C(A)/(H) T(A)/(O)`

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

`Opposite = Sin(70) *{20}`

Opposite = 18.79385242

Opposite = 18.8 feet