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

Question

4 years ago

7

wall will the support post reach

1 answer:

stellarik [79] · Answer 1 · 2022-02-02T10:27:28+03:00

4 0

Trigonometry

$Sin\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Adjacent}{Opposite}$

$S\frac{O}{H} C\frac{A}{H} T\frac{A}{O}$

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

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

Opposite = 18.79385242

<h2>Opposite = 18.8 feet</h2>