Lance, rachael, and jamie are playing catch. lance throws the ball to rachael, rachael to jamie, and jamie back to lance. the angle formed at rachael's position measures 90°. the distance from lance to rachael is 45 feet, and the angle formed at lance's position measures 55°. lance is trying to determine the other measures created by their positions. give each measurement rounded to the nearest thousandth of a foot.

The shape formed by the three is a right triangle because the angle formed at Rachael's position is 90°. 

The known values are 90°, 55° and 45 ft.

Since the sum of all angles in a triangle is 180 degrees, we can easily solve for the angle formed by Jamie: 180°-90°-55° = 35°.

For the distance between Jamie and Lance (JL): cos 55° = 45/JL
JL = 78.455 feet.

For the distance between Jamie and Rachael (JR): tan 35° = 45/JR
JR = 64.267 feet.