Question

What is the value of a?

Enter your answer in the box.

Round only your final answer to the nearest whole number.

Answer 1

a = 15

Explanation:

The Law of Cosines

a^2 = 13^2 + 14^2 - 2(13)(14)Cos(67.4)

a^2 = 169 + 196 - (364 * 0.3843)

a^2 = 365 -140

a^2 = 225

a = 15

Answer 2

For this case, we have by definition the law of cosine states that:

`a = \sqrt {b ^ 2 + c ^ 2-2 (b) (c) * cosine (67.4)}`

We have to:

`b = 13\\c = 14`

Substituting:

`a = \sqrt {13 ^ 2 + 14 ^ 2-2 (13) (14) * cosine (67.4)}\\a = \sqrt {169 + 196-364 * 0.38429532}\\a = \sqrt {365-139.8834965}\\a = \sqrt {225.1165035}\\a = 15.00388295`

Rounding off we have:

`a = 15`

Answer:

`a = 15`