Zack, rachel, and maddie are unraveling a huge ball of yarn to see how long it is. as they move away from each other, they form a triangle. the distance from zack to rachel is 3 meters. the distance from rachel to maddie is 2.5 meters. the distance from maddie to zack is 4 meters. find the measures of the three angles in the triangle.

We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance

a =3
b =2.5
c =4

Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°

cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°

C=180 - 48.59° - 38.625°
C= 92.79°

The three angles are 48.59°,38.63° and 92.79°.