Thread: Find Length of Mountain Trail

A straight trail with an inclination of 17 degrees leads a hotel at an of elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?

Originally Posted by magentarita

A straight trail with an inclination of 17 degrees leaves a hotel at an elevation of 9000 feet to a mountain lake at an elevation of 11,200 feet. What is the length of the trail?

I changed your wording just a tad. I hope this is what you mean.

This just sounds like a classic case of right triangle trigonomety. From the hotel, the rise to 11,200 ft. would be 2200 ft. With an inclination of 17 degrees we should have:



where x is the length of the trail in feet.

Originally Posted by masters

I changed your wording just a tad. I hope this is what you mean.

This just sounds like a classic case of right triangle trigonomety. From the hotel, the rise to 11,200 ft. would be 2200 ft. With an inclination of 17 degrees we should have:



where x is the length of the trail in feet.

I can take it from here.

Thanks