During a figure skating routine, Jackie and Peter skate apart with and angle of 15 degrees between them. Jackie skates for 5 meters, and Peter skates for 7. How far apart are the skaters?

The skaters are 2.5 feet apart

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

To calculate the distance apart, this is same as the length PJ

To calculate this length, we can use the cosine rule as follows;

O^2 = P^2 + J^2 -2(P)(J)Cos 15

O^2 = 7^2 + 5^2 -2(7)(5)Cos 15

O^2 = 49 + 25 - 70Cos15

O^2 = 74 - 67.61

O^2 = 6.39

O = √6.39

O = 2.53

O = 2.5 feet to the nearest tenth of a foot

nlgqer

step-by-step