SOLUTION: a=9, M angle B=54 degrees and angle c is a right angle solve each triangle

Algebra ->  Trigonometry-basics -> SOLUTION: a=9, M angle B=54 degrees and angle c is a right angle solve each triangle       Log On


   

Question 859363: a=9, M angle B=54 degrees and angle c is a right angle solve each triangle
Answer by Awesom3guy(31) About Me  (Show Source):
You can put this solution on YOUR website!

You don't solve each triangle, you solve for the sides. Right?
Angle A = 90-54+=+36°

Side b:
tan%28B%29=b%2Fa
tan%2854%29=b%2F9
b+=+9%2Atan%2854%29
b=12.39

side c:
cos%28B%29=a%2Fc
We use the reciprocal trig function of cosine (secant) to make the computation of the fraction easier:
sec%28B%29=c%2Fa
sec%2854%29=c%2F9
c=9%2Asec%2854%29
c+=+15.31