Answer:
21 miles
Step-by-step explanation:
This is a two part problem, first, use triangle BAC to get your Angle A.
Angle A = 23.6
Length AB = 2√305
Now plug in your Angle A and find Angle B which is 66.4
The sum of all the angles in a triangle is 180
23.6+90+B=180
Then find Length AD
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B) = opp/hyp
sin(B) = 48 / AD
AD = 48/sin(66.4)
AD = 52.3
Now find last side DE of the triangle using the Pythagorean theorem.
DE^2 + AE^2 = AD^2
DE^2 = AD^2 - AE^2
DE^2 = 52.3^2 - 48^2
DE = 20.97
