In the right triangle below, the lengths of all three sides age given. Using the
ID: 1408318 • Letter: I
Question
In the right triangle below, the lengths of all three sides age given. Using the lengths given, sin phi =______and sin^-1phi =___________degree. Using the lengths given, tan phi =________and tan^-1phi =_________degree. These two values of phi (1) agree closely, (2) are fairly close, or (3) disagree with one another. Using the lengths given, sin theta =________which means that theta =_______degree. Theta + phi =_________degree which is (1) consistent, or (2) inconsistent with the value of_______which is expected. (0.3243, 18.92degree, 0.3429, 18.92degree, 0.9459, 71.08degree, 89.995degree)Explanation / Answer
here,
sin(phi) = b/c
sin (phi) = 12/37
sin(phi) = 0.324
and ,
arcsin(0.324) = phi
phi = 18.92 degree
tan(phi) = 0.342
sin(theta) = 36/37
sin(theta) = 0.97
theta = arcsin(0.97)
theta = 76.65 degree
theta + phi = 90 degree