Question

Question

A mountain climber starts a climb at an elevation of 380 ft. above sea level. At his first rest stop he has climbed 182 ft., and by his second rest stop he has climbed another 208 ft. It is getting late in the day, so the climber starts his way down the mountain. If the climber descends 235 ft, how much does he need to descend to return to his original starting point?(1 point)

Answer 1

To find out how much the mountain climber needs to descend to return to his original starting point of 380 ft, we first need to calculate his current elevation after all the climbs and descents.

1. Starting elevation: 380 ft
2. First climb: 182 ft
   • New elevation = 380 ft + 182 ft = 562 ft
3. Second climb: 208 ft
   • New elevation = 562 ft + 208 ft = 770 ft
4. Descent: 235 ft
   • New elevation = 770 ft - 235 ft = 535 ft

Now, we need to find out how much further he needs to descend from 535 ft to return to his original starting point of 380 ft.

Descent needed: \[ 535 \text{ ft} - 380 \text{ ft} = 155 \text{ ft} \]

Thus, the climber needs to descend 155 ft to return to his original starting point of 380 ft.