Cool H.

asked • 04/29/13

determine how many solution exist

< = angles

determine how many solution exist

<A = 84 , a = 25 , b=15
Solutions ----
< B = __ <C = ___ c=__
<B= __ <C=__ c=__

2 Answers By Expert Tutors

By:

Nataliya D. answered • 04/30/13

Tutor
New to Wyzant

Patient and effective tutor for your most difficult subject.

See tutors like this
See tutors like this

    25            15                       15 * sin 84
———— = ———  ---> sin B = —————— 
 sin 84        sin B                           25 

sin B ≈ 0.5967 ---> B ≈ 370 , then measure of angle C = 590
c2 = a2 + b2 - 2ab cos C ---> c2 ≈ 625 + 225 - 750 * 0.5150381 ≈ 463.7
c ≈ 21.5 

Upvote • 0 Downvote
More
Report

Robert J. answered • 04/30/13

Tutor
4.6 (13)

Certified High School AP Calculus and Physics Teacher

See tutors like this
See tutors like this

sin(B)/15 = sin(84)/25

Solve for B,

B = 36.63 ° <==The only answer for B, since the other solution B = 180 - 36.63 = 143.37 ° is impossible because the sum of angle measures for a triangle must be 180 °.

C = 180 - A - B = 180 - 84 - 36.63 = 59.37 °

c/sin(C) = 25/sin(84)

c = 21.63

Upvote • 0 Downvote
More
Report

Cool H.

how many solutions?

Report

04/30/13

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.