A 12-foot slide is attached to a swing set. The slide makes a 65º angle with the swing set. Which answer most closely represents the height of the top of the slide?

Question

anonymous · Answer

attachment

jack1 · Answer

so do you understand the acronym SOH CAH TOA?

anonymous · Answer

yeah

jack1 · Answer

ok, so which is your unknown that you're trying to find:
Opposite, Adjacent or Hypotenuse?

anonymous · Answer

opposite

jack1 · Answer

no, you're looking for the height, so that would be the side that is adjacent to the angle

jack1 · Answer

from the picture, the side oppisite the angle isn't marked, and the side adjacent is x

jack1 · Answer

now, to work out which formula to use, you need to know what you have.
so you want to find Adjacent side length
do you have Oppisite side length or Hypotenuse side length (from picture)

anonymous · Answer

i got it thx

jack1 · Answer

ok so you have hypotenuse and want to find adjacent, so use CAH
cos (angle) = adjacent / hypotenuse
cos (65) = adjacent / 12
12 x cos 65 = adjacent side length

you good from here...?