MATH SOLVE

6 months ago

Q:
# Ruby is visiting San Francisco. From her hotel she walks 4 blocks east and 2 blocks north to a coffee shop. Then she walks 5 blocks west and 1 block north to a museum. Where is the museum in relation to her hotel?

Accepted Solution

A:

I'm not sure if you have done vectors as of yet, but you would first add the x components and y components separately.

x-components: 4 blocks + 5 block = 9 blocks

y-component: 2 blocks + 1 block = 3 blocks

Magnitude of this: √(x₂-x₁)²+(y₂-y₁)²

= √(9)²+(3)²

=√81+9

=9.5 blocks approx

Angle of of the resultant vector;

tanθ=y/x

tanθ=3/9

θ=tan⁻¹(3/9)

θ=18.43 degrees

Hope I helped :)

x-components: 4 blocks + 5 block = 9 blocks

y-component: 2 blocks + 1 block = 3 blocks

Magnitude of this: √(x₂-x₁)²+(y₂-y₁)²

= √(9)²+(3)²

=√81+9

=9.5 blocks approx

Angle of of the resultant vector;

tanθ=y/x

tanθ=3/9

θ=tan⁻¹(3/9)

θ=18.43 degrees

Hope I helped :)