In triangle ABC, AB = 6 cm, BC = 13 cm and angle ACB = 23°. Calculate angle BAC, which is obtuse.

angle BAC = 57.84°

Step-by-step explanation:

To find angle BAC given AB=6cm    BC= 13 cm   and ACB=23°

we will follow the steps below;

we can use the sine formula to solve the problem given

=

from the question given;

A = ?

C = 23°

c=AB  = 6 cm

a=BC = 13 cm

substitute the values into the formula above

=

 =  

cross -multiply

6 sinA =  13 sin23°

sin A = 13 sin23°  /  6

sin A = 0.84658

take the of both-side

sin A =   (0.84658)

on the left-hand side of the equation will cancel-out sin leaving us with just A

A =   (0.84658)

A ≈ 57.84°

angle BAC = 57.84°

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step-by-step explanation: