Question

A 12 ft. ladder leaning against a wall has its base 4 ft. from the wall. Find the sine and the cosine of the angle that the ladder makes with the ground.

Answer 1

use pathgoren therm

Answer 2

How should I solve for the sine and cosine after?

Answer 3

hmm thats the tricky part that i dont know about

Answer 4

Well, thanks! :)

Answer 5

Look.\[\sin \theta=4ft/12ft=1/3\]For the cosine you just need to figure out the third side with the pythagoras theorem:\[x=\sqrt{(12ft)^{2}-(4ft)^{2}}=8\sqrt{2}ft\]The you solve for cosine:\[\cos \theta=\frac{ 8\sqrt{2}ft }{ 12ft }=\frac{ 2\sqrt{2} }{ 3 }\approx1\]

Answer 6

Thank you, @ivancsc1996 ! :)