You drive 45 miles to Kingwood from Richmond at 30° North of East. Determine how far north and how far east you traveled. How would i answer this ?

22.5 miles due North

38.7 miles due East

Explanation:

From the information given above, we infer :

Let there be a vector AB (indicating distance travelled) with magnitude = 45 mi and makes an angle of 30° with East axis as well as an angle of 60° with North axis.

Displacement covered in North Direction :

AB Cos 60° = 22.5 miles due North

Displacement covered in East Direction :

AB Cos 30° = 38.7 miles due East

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