Philip, George, and Matt are water polo players. The diagram below represents the players’ positions during a game. What is the measure of the angle at George’s position? A-6°
B-37°
C-60°
D-83°

83

Step-by-step explanation:

I took the quiz.

d. is the correct answer

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4