Question

Two eagles are flying at the same elevation at 300 meters above sea level. One eagle goes up 12.85 meters, and the other one soars 24.65 meters down. What is the vertical distance between the two eagles?

A) 11.8 meters
B) 37.5 meters
C) 37.15 meters
D) 37.5 meters down

Answer 1

To find the vertical distance between two eagles with one ascending and the other descending from the same elevation, we calculate their new elevations and subtract the lower from the higher, arriving at 37.5 meters. Hence, the correct answer is Option B) 37.5 meters.

Step-by-step explanation:

To calculate the vertical distance between the two eagles, we start by understanding their initial elevation which is the same for both birds at 300 meters above sea level. If the first eagle goes up by 12.85 meters, its new elevation is 300 meters + 12.85 meters = 312.85 meters.

The second eagle descends by 24.65 meters, making its new elevation 300 meters - 24.65 meters = 275.35 meters.

To find the vertical distance between the two eagles, we need to calculate the net displacement of each eagle.

For the first eagle, it goes up 12.85 meters, so its net displacement is +12.85 meters.

For the second eagle, it goes 24.65 meters down, so its net displacement is -24.65 meters.

To find the vertical distance between the two eagles, we add the two net displacements: +12.85 meters + (-24.65 meters) = -11.8 meters.

The vertical distance between them can be found by subtracting the lower elevation from the higher elevation: 312.85 meters - 275.35 meters = 37.5 meters. Hence, the correct answer is Option B) 37.5 meters.