Question

The peak Tyler climbs is at point P on the north end of a pond. After Tyler finishes his climb, you walk 1600 m from P along a road to an intersection at X. Then you walk another 600 m along that road to your campsite at C. Finally, you walk 400 m due north to a restaurant at R to get dinner. While you're eating, you tell Tyler that you can figure out the distance across the pond from north to south, PD.7. Label the drawing with the known distances.

a) PD.7 = 1600 m, XC = 600 m, CR = 400 m
b) PD.7 = 400 m, CX = 600 m, RC = 1600 m
c) PD.7 = 1600 m, XC = 400 m, CR = 600 m
d) PD.7 = 600 m, XC = 1600 m, RC = 400 m

Answer 1

To find the distance across the pond from north to south, PD.7, we can determine the displacement PC between point P and C using the given distances. The correct option is a) PD.7 = 1600 m, XC = 600 m, CR = 400 m.

Step-by-step explanation:

To determine the distance across the pond from north to south, PD, we can use the concept of displacement. Displacement is a vector quantity that represents the straight-line distance and direction between two points. In this case, we can use the given information to find the displacement PD.7.

Since Tyler climbs to point P and you walk from P to C, the displacement PC represents the distance across the pond. To find PC, we can use the Pythagorean theorem to find the magnitude of the displacement and trigonometry to find its direction.

Using the given distances PD.7 = 1600 m, XC = 600 m, and CR = 400 m, we can conclude that the correct option is a) PD.7 = 1600 m, XC = 600 m, CR = 400 m.