Question

Brody and Carrie like to hike in the mountains. From the trailhead, they climb 103 feet until they reach a waterfall. On the next part of the trail, they descend 84 feet. To reach their destination, Brody and Carrie must then climb another 194 feet. Their destination is 734 feet above sea level. At what elevation is the trailhead?

Answer 1

521 feet.

Explanation:

In the given question, the number of feet covered with respect to climbing would have a positive value. While the number of feet descended would have negative value.

The total feet covered by Brody and Carrie, with the elevation of the trail-head should be equal to the elevation of their destination above sea level.

To determine the elevation of the trail-head, let its elevation be represented by h.

So that,

h + 103 - 84 + 194 = 734

h + 297 - 84 = 734

h + 213 = 734

h = 734 - 213

h = 521

h = 521 feet

The elevation of the tail-head is 521 feet.