Question

TRUE or FALSE?! :)

The measure of theta, in degrees, is approximately 48.7 degrees.

***use pic attached inside!!**

my answer: TRUE!!

is that right? :)

Answer 1

Use law of cosines

Answer 2

okay! :)

so is this right?

7^2 + 4^2 - 5.3^2 / 2(7)(4)

= 49+16-28.09 / 56

= 36.91/56

= .6591071429

and i take the inverse cosine right?

so i got 48.76818607

so this is TRUE right? :)

Answer 3

c^2 = a^2 + b^2 - 2ab cos C
5.3^2 = 4^2 + 7^2 - 2(4)(7) cos C
(5.3^2 - 16 - 49) / [(-2)(4)(7)] = cos C
C = 48.768...
You are correct.

Answer 4

hahah yayyy!! :) Thank you so much!! :D