217k views
4 votes
Find the value of x round to the nearest tenth

Find the value of x round to the nearest tenth-example-1
User Nimjox
by
4.8k points

2 Answers

3 votes

Answer:

18

Explanation:

to be more precise from the answer above :)

bc i know people will type 18.0 in the box when it's actually 18.

User Zermingore
by
6.7k points
4 votes

Answer:

Approximately 18.0.

Explanation:

To find x, we can use the Law of Cosines.

The Law of Cosines is the following:


c^2=a^2+b^2-2ab\cos(C)

Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.

Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:


x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=√(1156-960\cos(30)) \\x\approx18.0171

(Use a calculator. Make sure you're in degree mode!)

User AticusFinch
by
5.6k points