We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
108
1
avatar

In triangle ABC, B = 90 degrees, and AC = 13 cm.

Determine:

A) BC if C = 17 degrees. B) A if BC = 6cm .

 Jun 9, 2019
 #1
avatar+104963 
+2

In triangle ABC, B = 90 degrees, and AC = 13 cm.

Determine:

A) BC if C = 17 degrees. B) A if BC = 6cm .

 

 

A) If C = 17°  then  A = 90 -17  = 73°

 

By the Law of Sines

 

BC / sin 73  =  AC / sin90

BC / sin 73 = 13/1

BC = 13sin(73)    ≈  12.4

 

B)  A if BC = 6

 

Again by the Law of Sines

 

sin A / BC  = sin90 / AC

sin A / 6 = 1 /13

sin A = 6/13      take the sine inverse to find angle A

arcsin (6/13) = A ≈ 27.5°

 

 

cool cool cool

 Jun 9, 2019

23 Online Users

avatar
avatar