Question

Hurry and respond with how you got it!

Answer 1

a = 6.2

Solution:

Given ABC is triangle.

AC = b = 8, BA = c = 11, ∠A = 32.2°

BC = a

To find the length of a:

Law of cosines:

$a^{2}=b^{2}+c^{2}-2 b c \cdot \cos A$

$a^{2}=8^2+11^{2}-2 \times 8 \times 11 \cdot \cos 32.2^\circ$

$a^{2}=64+121-174 \cdot \cos 32.2^\circ$

$a^{2}=185-174 (0.8461)$

$a^{2}=185-147.221$

$a^{2}=37.779$

Taking square root on both sides of the equation.

a = 6.1464

a = 6.2

The length of BC is 6.2.