Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which is on the road and 3 kilometers from point P. Two kilometers due north of point is a cabin. The hiker will walk down the road for a while, at a pace of 8 kilometers per hour. At some point Z between P and Q, the hiker leaves the road and makes a straight line towards the cabin through the woods, hiking at a pace of 3 kph, as pictured in Figure 3.4.3. In order to minimize the time to go from P to Z to the cabin, where should the hiker turn into the forest? P Z 3 cabin Q 2 Figure 3.4.3. A hiker walks from P to Z to the cabin, as pictured. What should our objective/target function be for this problem? O A function modeling the total time to go from P to Z to the cabin O A function modeling the distance from Z to the cabin O A function modeling the total pace of walking along the road and then throuhgh the woods O A function modeling the distance from P to Z
Activity 3.4.3. A hiker starting at a point P on a straight road walks east towards point Q, which is on the road and 3 kilometers from point P. Two kilometers due north of point is a cabin. The hiker will walk down the road for a while, at a pace of 8 kilometers per hour. At some point Z between P and Q, the hiker leaves the road and makes a straight line towards the cabin through the woods, hiking at a pace of 3 kph, as pictured in Figure 3.4.3. In order to minimize the time to go from P to Z to the cabin, where should the hiker turn into the forest? P Z 3 cabin Q 2 Figure 3.4.3. A hiker walks from P to Z to the cabin, as pictured. What should our objective/target function be for this problem? O A function modeling the total time to go from P to Z to the cabin O A function modeling the distance from Z to the cabin O A function modeling the total pace of walking along the road and then throuhgh the woods O A function modeling the distance from P to Z
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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Transcribed Image Text:Activity 3.4.3. A hiker starting at a point P on a straight road walks east
towards point Q, which is on the road and 3 kilometers from point P.
Two kilometers due north of point is a cabin. The hiker will walk down the
road for a while, at a pace of 8 kilometers per hour. At some point Z between P
and Q, the hiker leaves the road and makes a straight line towards the cabin
through the woods, hiking at a pace of 3 kph, as pictured in Figure 3.4.3. In
order to minimize the time to go from P to Z to the cabin, where should the
hiker turn into the forest?
P
Z
3
cabin
Q
2
Figure 3.4.3. A hiker walks from P to Z to the cabin, as pictured.
What should our objective/target function be
for this problem?
O A function modeling the total time to go from P
to Z to the cabin
A function modeling the distance from Z to the
cabin
O A function modeling the total pace of walking
along the road and then throuhgh the woods
O A function modeling the distance from P to Z
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