Question

Find the measure of a.

A. 3
B. 6
C. 8
D. 16

Answer 1

THE ANSWER IS 6, because if u look at it the side that is missing is a little shorter than the side that measures 8, although not bigger than the side that measures 11. so the only option is B.6

Answer 2

The correct option is B. The measure of a is 6.

Explanation:

Given information: b = 8, c = 11 and A =32.2°.

To find the measure of side a, we will use law of cosine.

The Law of cosine:

`a^2=b^2+c^2-2bc\cos A`

`a^2=(8)^2+(11)^2-2(8)(11)\cos (32.2^(\circ))`

`a^2=64+121-176\cos (32.2^(\circ))`

`a^2=36.0700027615`

`a=6.01`

`a\approx 6`

Therefore option B is correct.