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

Question

155 feet

78 feet

535 feet

235 feet

Answer 1

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

1. Starting elevation: 380 ft

2. First rest stop: Climbs 182 ft

   \[ \text{Elevation after first rest stop} = 380 + 182 = 562 \text{ ft} \]

3. Second rest stop: Climbs another 208 ft

   \[ \text{Elevation after second rest stop} = 562 + 208 = 770 \text{ ft} \]

4. Descent: Climbs down 235 ft

   \[ \text{Elevation after descent} = 770 - 235 = 535 \text{ ft} \]

Now, to return to the original starting point of 380 ft, the climber needs to descend:

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

Thus, the climber needs to descend 155 ft to return to his original starting point. The answer is 155 feet.