Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 666 units in ttt corresponds to an increase of 777 units in ddd. What is the unit rate of change of ddd with respect to ttt? (That is, a change of 111 unit in ttt will correspond to a change of how many units in ddd?)

4.55 mi N70°E, or 4.6 mi n70°E

Step-by-step explanation:

Draw a diagram; it helps keep the trig functions straight.

Starting from (0,0) a walk of 2 mi at N40°E leaves him at

x = 2sin40° = 1.29

y = 2cos40° = 1.53

Now, a walk 3 mi due east leaves him at

(4.29,1.53)

The new bearing is an angle θ with tanθ = 4.29/1.53 = 2.80

so, the new location is 4.55 mi N70°E