Find y.

Round up the answer to the tenth place

*
(example: 23.554 => 23.6)
*

*
Check out the set:
2016 Problems
*

The answer is 148.4.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

Use the Pythagorean theorem, where $a^2 + b^2 = c^2$ . Substitute the values we are given to get $153.6^2 + y^2 = 213.6^2$ . This becomes $23592.96 + y^2 = 45624.96$ . Subtract the values to get $y^2 = 22032$ . Square root both sides to get $y = 148.431802522$ . We have to round this to the tenth place so $y = 148.4$ .