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)

Responses

155 feet
155 feet

78 feet
78 feet

535 feet
535 feet

235 feet

To return to his original starting point, the mountain climber needs to descend the same amount he initially climbed above sea level. Therefore, he needs to descend 380 ft.

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)

Responses

155 feet
78 feet
535 feet
235 feet

The mountain climber has initially climbed 380 ft above sea level. At the first rest stop, he has climbed an additional 182 ft, bringing his elevation to 380 + 182 = 562 ft. At the second rest stop, he has climbed another 208 ft, bringing his elevation to 562 + 208 = 770 ft.

To return to his original starting point, the climber needs to descend by the total amount he has climbed. This is 770 ft - 380 ft = 390 ft. However, the climber has already descended by 235 ft.

Therefore, he still needs to descend by 390 ft - 235 ft = 155 ft to return to his starting point.

So the answer is 155 feet.

To find out how much the climber needs to descend to return to his original starting point, we need to calculate the net change in elevation.

The climber starts at an elevation of 380 ft above sea level. He then climbs another 182 ft at the first rest stop, and 208 ft at the second rest stop. This means his current elevation is:
380 + 182 + 208 = 770 ft above sea level.

Now, since the climber is descending, we subtract the amount he descends from his current elevation:
770 - 235 = 535 ft.

Therefore, the climber needs to descend 535 ft to return to his original starting point. The correct option is 535 feet.