SOLUTION: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B) = 4/5, a = 38 b= c= Thanks in ad

Question 1129880: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 38

b=
c=

Thanks in advance...
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 38
:
Draw a right triangle ABC, label the side opposite the angle as a, b, c
:
a side is adjacent to angle B, therefore
= Cos(B)
= 4/5
4c = 38 * 5
4c = 190
c = 190/4
c = 47.5 is the hypotenuse
:
Find b
Find angle B
=
B = 36.87
sin(36.87) =
b = 47.5 * sin(36.87)
b = 28.5

RELATED QUESTIONS
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite... (answered by josmiceli,MathTherapy)

For the following exercises, find the lengths of the missing sides if side a is... (answered by Theo,ikleyn)

Find the lengths of the missing sides if side a is opposite angle A, side b is opposite... (answered by Alan3354)

Find the lengths of the missing sides if side a is opposite angle A, side b is opposite... (answered by Theo)

Find the lengths of the missing sides if side a is opposite angle A, side b is opposite... (answered by stanbon)

Use the Law of Sines to solve for the missing side for the oblique triangle. Round your... (answered by math_tutor2020)

Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7.... (answered by MathLover1,MathTherapy)

Use the figure. Find the lengths of the remaining sides of the triangle. See Example 10.... (answered by mananth,MathTherapy)

the sum of the sides of a triangle ABC is 200m.If angle A=37,B=59,and C=84,find the side... (answered by Edwin McCravy)