Question

Finding X with trig. Help plz for fan and medsl!

Answer 1

\(x\cdot \cos 24^\circ=11\)

Answer 2

See this
http://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry

for the main idea.

you need a calculator to solve this problem
you know the ADJACENT side to angle 24º and you want to find the HYPOTENUSE
in SOH CAH TOA CAH is what you use Cosine = Adjacent/Hypotenuse

that means
cos(24)= 11/x
you need to do a little algebra to "solve for x"
multiply both sides by x (you want x up top)
x cos(24) = 11
now divide both sides by cos(24) (you want x by itself)
x= 11/cos(24)

now use a calculator

Answer 3

Please, accept my condolences @phi . We have one more ungrateful user.