At a campground, the 50 yard path from your campsite to the information center forms a right angle with the path from the information center to the lake. The information center is 30 yards from the bathhouse. What is the distance from the campsite to the lake in yards?

Question

anonymous · Answer

@agent0smith @Compassionate @jdoe0001 @ranga

anonymous · Answer

Any way you can draw the problem? Would really help. Not sure if it's a triangle or a square or a rectangle...

anonymous · Answer

Sorry

anonymous · Answer

|dw:1391382128216:dw|

anonymous · Answer

@wouterdobber

anonymous · Answer

That helps a lot, thanks.

anonymous · Answer

No problem, my bad, I forgot to insert that drawing.

anonymous · Answer

So X is quite straight forward. It is a Pythagorean triple, 3,4,5 (in this case 30, 40, 50), so X =40.

anonymous · Answer

What about y?

anonymous · Answer

You are not given any other angles, are you?

anonymous · Answer

Nope.

anonymous · Answer

That is a 30 - 60 - 90 triangle.

anonymous · Answer

No it's not. My bad.

anonymous · Answer

I am pretty certain you need atleast one more angle value or side value to find Y.

anonymous · Answer

Well I don't.

anonymous · Answer

The bathhouse line is an altitude so the angles next to it are right angles.

anonymous · Answer

I understand that but we do not have enough info to use Pythagoras and also not enough info to use the SOH CAH TOA.

anonymous · Answer

Oh, we haven't learned that yet, so we won't use that. @wouterdobber

anonymous · Answer

@agent0smith @abb0t @Ashleyisakitty @AccessDenied @Annie96 @april115