Question

Find the value of x rounded to the nearest hundredth.

Answer 1

Answer:

$x=6.93\ units$

Step-by-step explanation:

To better understand the problem see that attached figure with letters

we know that

In the right triangle BCD

$cos(C)=4/x$ ----> equation A

we know that

In the right triangle ABC

$cos(C)=x/12$ -----> equation B

equate equation A and equation B

$\frac{4}{x}=\frac{x}{12}\\ \\x^{2}=48\\ \\x=6.93\ units$