Question

A hiker walks 9.4 miles at an angle of 60° south of west. Find the west and south components of the walk. Round your answers to the nearest tenth.
Ax = miles

Answer 1

Answer:

The west axis component of walk is, A = 5 miles

The east axis component of walk is, B = 8 miles

Explanation:

Given data,

The displacement of hiker south of west, R = 9.4 miles

The angle formed south of west, Ф = 60°

The vector components along,

                   the west axis is

                                      A = R cosФ

                                       A = 9.4 x cos 60

                                       A = 4.7 miles

                                        A = 5 miles

The west axis component of walk is, A = 5 miles

                    the south axis is

                                      B = R sinФ

                                       B = 9.4 sin 60

                                        B = 8.14 miles

                                         B = 8 miles

The east axis component of walk is, B = 8 miles