One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion.  One day Hercules sees the lion 320 feet away.  He strings his bow and lets an arrow fly.  The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet.  He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground.   Verify with calculations that if Hercules uses a launch angle of 20 degrees he will overshoot the lion.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 41E: The following problem is based on the Parallelogram Law. In the scaled drawing, each unit...
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One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion.  One day Hercules sees the lion 320 feet away.  He strings his bow and lets an arrow fly.  The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet.  He wants to hit the lion in the neck above the shoulders

which is 4 feet off of the ground.

 

  1. Verify with calculations that if Hercules uses a launch angle of 20 degrees he will overshoot the lion. 
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