Question

I need some math help ​

Answer 1

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