Question

if the height of a refrigerator is 6 feet and the base is 3 feet. find the angle of inclination.
a. 67.43
b. 26.56
c. 63.43

Answer 1

to find the angle B, you have to find the hypotenuse, which is \[\sqrt{45}\]

then you can use any of the trigonometric functions. i prefer sin

to find the angle you start with:
\[\sin \theta= opp/hyp\]
look at the drawing. the opposite side is 6, therefore:

\[\sin \theta=6/\sqrt{45}\]
use the inverse function of sin
\[\theta=\sin^{-1} (6/\sqrt{45})\]

and you get
\[\theta \approx 63.43\]