Question

a 10 ft ladder leans against a wall. the base of the ladder is on level ground 6 ft. what is the slope of the ladder?

Answer 1

soh cah toa

COSINE THETA = ADJACENT/HYPOTENUSE

Answer 2

the slope is generally given by the tangent of the angle

you need to find the height where it touches the wall

then you can use tan = opposite/adjacent.

To find the height you need to use Pythagoras - however - if you have ever seen the "3,4,5" triangle which is a special case of Pythagoras then you may be able to se a very quick solution to finding the height