Answer:
BC≈ 14.4 to the nearest tenth.
Step-by-step explanation:
To solve this, we are going to use the cosine formula;
a² = b² + c² - 2bc cos A
a=BC and it is what we are looking for, A= 91° b=AC=13 and c=AB=6
We can now proceed and substitute the values into our formula;
a² = b² + c² - 2bc cos A
a² = 13² + 6² - 2(13)(6) cos 91
= 169 + 36 -156 cos91
=205 - 156(-0.01745)
= 205 + 2.7222
=207.7222
a² = 207.7222
Take the square root of both-side to get the value of a
√a² = √207.7222
a=BC=14.41257
BC=14.41257
BC≈ 14.4 to the nearest tenth.
