Question

A herd of wildebeests traveled 325.0 m in a direction 25° south of east.

A.What is the east component of the herd’s displacement? Round your answer to the nearest tenth.

B.What is the south component of the herd’s displacement? Round your answer to the nearest tenth.

Answer 1

The east component of the herd's displacement is approximately 294.9 m, and the south component is approximately 137.5 m.

Step-by-step explanation:

To find the east component of the herd's displacement, we need to find the horizontal component of the displacement vector. We can use the cosine function to do this:

East component = Displacement * cos(angle) = 325.0 m * cos(25°) = 325.0 m * 0.9063 ≈ 294.9 m

Rounded to the nearest tenth, the east component of the herd's displacement is approximately 294.9 m.

To find the south component of the herd's displacement, we need to find the vertical component of the displacement vector. We can use the sine function to do this:

South component = Displacement * sin(angle) = 325.0 m * sin(25°) = 325.0 m * 0.4226 ≈ 137.5 m

Rounded to the nearest tenth, the south component of the herd's displacement is approximately 137.5 m.