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Ludmilka [50]
3 years ago
12

Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The an

gle 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.
Mathematics
1 answer:
wariber [46]3 years ago
6 0
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.
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