1. To <span>Calculate the resultant speed of the plane, you need to find the speed of the air, add it to the plane speed, then find the resultant using trigonometry. </span> The velocity of the plane: east=400 knots
The velocity of the air 50knots north east = 50/√2 north + 50/√2 east
The resultant speed would be: total speed^2= east^2 + north^2 total speed= √(400+50/√2)^2 + (50/√2)^2 total speed= √(189534.254 + 1250) total speed= 436.8 knots
2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula. east speed= 400knots + 50/√2 knots= 435.35 knots north speed= 50/√2knots= 35.35 knots
tan a= opposite/adjacent tan a = north speed/ east speed tan a= 35.35/ 435.35 tan a=0.0812 a= 4.6 degrees
In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000? c. 2036