A DC-9 aircraft leaves an airport from a runway whose bearing is N40°E. After flying for mile, the pilot requests permission to turn 90° and head toward the southeast
The permission is granted. After the airplane goes 1 mile in this direction, what bearing should the control tower use to locate the aircraft?
"What is the bearing that the control tower should use to locate the aircraft?

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

there were only 2 presidents that were under the age of 45. theodore roosevelt, and jfk, that makes 5%