Physics: Principles with Applications (7th Edition)

x-component: $(4580 m)(cos 122.4 ^{\circ}) = -2845 m$ y-component: $(4580 m)(sin 122.4 ^{\circ}) = 3589 m$ The z-component was given as 2450 m. The magnitude of the displacement is $5190 m.$
The x component is negative and the y component is positive, because the summit is to the west of north. The angle of the displacement vector measured counterclockwise from the positive x axis is 122.4 degrees. x-component: $$(4580 m)(cos 122.4 ^{\circ}) = -2845 m$$ y-component: $$(4580 m)(sin 122.4 ^{\circ}) = 3589 m$$ The z-component was given as 2450 m. The magnitude of the displacement is obtained using the 3 components and the Pythagorean theorem, and is 5190 m.