Question

a mountain - climbing expedition establishes two intermediate camps, labeled a and b in the drawing, above the base camp. what is the magnitude δr of the displacement between camp a and camp b? base camp 3200 m 4900 m 11200 m 19600 m number i units attempts: 0 of 3 used submit answer save for later using multiple attempts will impact your score. 20% score reduction after attempt 2

Explanation:

Step1: Find horizontal displacement

The horizontal distance between camp A and camp B is $\Delta x=19600 - 11200=8400$ m.

Step2: Find vertical displacement

The vertical distance between camp A and camp B is $\Delta y = 4900 - 3200=1700$ m.

Step3: Use Pythagorean theorem

The magnitude of the displacement $\Delta r$ between two - points is given by $\Delta r=\sqrt{\Delta x^{2}+\Delta y^{2}}$. Substitute $\Delta x = 8400$ m and $\Delta y=1700$ m into the formula: $\Delta r=\sqrt{(8400)^{2}+(1700)^{2}}=\sqrt{70560000 + 2890000}=\sqrt{73450000}\approx8570$ m.

Answer:

8570 m