Distance Formula Word problem ?

[JennyE]

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 178 km south and 108 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

 

[Deleted member 4993]

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 178 km south and 108 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

If I were to do your assignment, I would:

Draw North-South and East-West as y and x axes.

JBLM would be the origin (O).

I would plot my destination (D) as a point 178 km south and 108 km east (with convenient scaling).

I would Mt. Rainier (R) as a point 56 km east and 40 km south (with same scale).

Now I would draw a line from O to D.

And calculate the perpendicular distance of R from OD.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.