SOLUTION: The distance between Marge and the Dude ranch was 4 square root 34 miles straight across a rattlesnake infested canyon ( hypotenuse). She hiked due north for a longer time then due

Question 350273: The distance between Marge and the Dude ranch was 4 square root 34 miles straight across a rattlesnake infested canyon ( hypotenuse). She hiked due north for a longer time then due east for the shorter leg of the journey. If she averaged 4 mph and it took 8 hours to get to the ranch how far did she hike in the northerly direction ?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
I decided to tackle your question one more and this time I completed it for you.
4 miles/hour x 8 hours = 32 miles total
We are given that the hypotenuse is 4sqrt(34) miles, so she hiked the legs of the triangle.
One leg = a, and the other leg is 32 - a, so we have
a^2 + (32-a)^2 = (4sqrt(34))^2
a^2 + 1024 - 64a + a^2 = 544
2a^2 -64a+480 = 0
a^2 - 32a + 240 = 0
(a-12)(a-20) = 0
a = 12 or a = 20
Since we are given that she traveled North further than South, she hiked 20 miles in the northerly direction.

RELATED QUESTIONS
The distance between Majorie and the dude ranch was (4times the square root of 34) miles... (answered by ankor@dixie-net.com)

the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested (answered by stanbon)

the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested (answered by nerdybill)

On a trip across the Grand Canyon in Arizona, a group traveled one-third the distance by... (answered by ankor@dixie-net.com)

The Skywalk is a glass-bottomed platform that hangs over the edge of the Grand Canyon and (answered by KMST)

Dude Ranches Incorporated was founded on the idea that many families in the eastern and... (answered by lynnlo)

Dude Ranches Incorporated was founded on the idea that many families in the eastern and... (answered by ikleyn,richwmiller)

A man stands on a cliff and looks across the canyon in front of him. On the other side of (answered by mananth)