Answer:
Step-by-step explanation:
You are given an angle, the adjacent side to the angle, and need the hypotenuse of the triangle. Use Cos x to find the missing side.
Cos α = (adjacent side)/(hypotenuse)
Cos 45 = 10/x
x(Cos 45) = 10 (multiply both sides by x to get rid of the fraction)
x = 10/(Cos 45) (divide both sides by Cos 45 to isolate x
Cos 45 = (√2)/2 so we have...
x = 10/[(√2)/2]
now simplify...
x = 10*(2/√2)
x = 20/√2
x = (20√2)/[(√2)(√2)
x = (20√2)/2
x = 10√2
or x = 14.1421 if you use a calculator
