Question

Find the measure of a.

Answer 1

the answer is 6 hope this helps

Answer 2

Answer: The measure of a is 6 units.

Explanation:

Since we have given that

BC = a

AC = 8

BA = 11

∠A = 32.2°

Since we have two measures of sides and one measure of angle.

So, we can use "Law of Cosines ":

So, it becomes,

`\cos A=(b^2+c^2-a^2)/(2bc)\\\\\cos 32.2^\circ=(8^2+11^2-a^2)/(2* 11* 8)\\\\0.846=(64+121-a^2)/(176)\\\\0.846=(185-a^2)/(176)\\\\0.846* 176=185-a^2\\\\148.896=185-a^2\\\\a^2=185-148.896\\\\a^2=36.104\\\\a=√(36.104)\\\\a\approx 6`

Hence, the measure of a is 6 units.