We use a standard notation:
, , and denote the sides of the triangles and their
lengths, and , , and denote the angles opposite ,
, and , respectively, as indicated in the nearby figure.
Thus and
are the lengths of the two short sides, and is the hypotenuse.
Use the Pythagorean Theorem to compute any missing length. Assume
also that denotes the angle opposite , the angle
opposite , and, of course, the right angle.
I recommend that in this problem you enter values of the trig
functions as fractions.
Suppose and .
Then
,
,
, and
.
You can earn partial credit on this problem.