Question

Abigail is climbing up and rappelling down a series of cliffs and drop-offs. She starts at her base camp, which is on the middle of a mountain. She begins by rappelling down an 82.5-foot drop-off and then climbs a cliff of 30.4 feet. Next she rappels down a 45.5-foot drop-off and then climbs a 25.2-foot cliff. Finally she makes two 45.4-foot climbs.

Answer 1

Alibagi is
`18.4` feet above the base camp

Explanation:

Complete question -

An explorer is climbing up and rappelling down a series of cliffs

and drop-offs. She starts at her base camp, which is on the middle

of a mountain. She begins by rappelling down an 82.5-foot

drop-off and then climbs a cliff of 30.4 feet. Next she rappels

down a 45.5-foot drop-off and then climbs a 25.2-foot cliff.

Finally she makes two 45.4-foot climbs.

Part A: How far above or below her base camp is the

explorer now?

Solution

Given -

First movement is in the downward direction which is equal to
`- 82.5` feet

Second movement is in in the upward direction which is equal to
`+ 30.4` feet

Third Movement is in the downward direction which is equal to
`- 45.5` feet

Fourth movement is in in the upward direction which is equal to
`+ 25.2` feet

Fifth movement is in in the upward direction which is equal to
`45.4` feet

Sixth movement is in in the upward direction which is equal to
`45.4` feet

Net movement of Abigail is

`- 82.5 + 30.4 -45.5 + 25.2 + 45. 4 + 45.4 \\18.4`

Alibagi is
`18.4` feet above the base camp