Answer:
x = 9.6
Step-by-step explanation:
Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)
12 * sin(34)
sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.
12 * 0.6
Now simply multiply 12 by 0.6 to get 7.2.
The unlabeled side is approx. 7.2 units long.
Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.
x = √12² - 7.2²
12 squared is 144; 7.2 squared is 51.84.
x = √144 - 51.84
Subtract 51.84 from 144 to get 92.16.
x = √92.16
The square root of 92.16 is 9.6 (on the spot!).
x equals 9.6.
