Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the parking lot? b. How far will he have to walk from the parking lot to get to the refreshment stand?
For this question you generally have to show your work (unless it's only for honors...)
For answer a, we'll use x for the unknown numbers. Because the triangle with the side of 32m and the triangle with the base of 18m share a side, x applies to both. So;
x/32 = 18/x
Cross multiply, and we get
x^2 = 576
Simplify...
_/x^2 = _/576
x = 24
And there's your answer for part a!
(Small note; _/ <- That's just how I write a square root. It's not division XD)
For part b, it's easier, assuming you remember the Pythagorean theorem (I sure as hell didn't for like three days XD)
For slight revision, the Pythagorean theorem is;
a^2 + b^2 = c^2
So...
24^2 + 32^2 = c^2
I forgot what it was called, but do whatever exponents tell you to do and...
576 + 1024 = c^2
Simplify...
1600 = c^2
So now that we know that, we can tell that c = the square root of 1600
c = 40
and that's the answer for b!
Hope these helped! (Or even made sense)
a. 24 meters
b. 32 meters
i guarantee 100%. i got this question right :)