80. On a certain mountain, the elevation z above a point (x, y) in an xy-plane at sea level is z= 2000 - 0.02x -0.04y, where x, y, and z are in meters. The positive x-axis points east, and the positive y-axis north. A climber is at the point (-20, 5, 1991). (a) If the climber uses a compass reading to walk due west, will she begin to ascend or descend? (b) If the climber uses a compass reading to walk north- east, will she ascend or descend? At what rate? |3D 1 (c) In what compass direction should the climber begin walking to travel a level path (two answers)?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
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80. On a certain mountain, the elevation z above a point (x, y) E
in an xy-plane at sea level is z= 2000- 0.02x-0.04y",
where x, y, and z are in meters. The positive x-axis points
east, and the positive y-axis north. A climber is at the point
(–20,5, 1991).
(a) If the climber uses a compass reading to walk due west,
will she begin to ascend or descend?
(b) If the climber uses a compass reading to walk north-
east, will she ascend or descend? At what rate?
(c) In what compass direction should the climber begin
walking to travel a level path (two answers)?
Transcribed Image Text:80. On a certain mountain, the elevation z above a point (x, y) E in an xy-plane at sea level is z= 2000- 0.02x-0.04y", where x, y, and z are in meters. The positive x-axis points east, and the positive y-axis north. A climber is at the point (–20,5, 1991). (a) If the climber uses a compass reading to walk due west, will she begin to ascend or descend? (b) If the climber uses a compass reading to walk north- east, will she ascend or descend? At what rate? (c) In what compass direction should the climber begin walking to travel a level path (two answers)?
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