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

Answer:

Alibagi is $18.4$ feet above the base camp

Step-by-step 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