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 shoulderswhich 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. Play around with different launch angles until you find the one that will hit the lion where he wants. You will need to be accurate to the hundredths place (two places after the decimal). For example, if you get 31 degrees will hit 4.7 that is too high. You might have to use 30.97 to get closer to exactly 4. Show all attempts that you made until you get the right angle.

Equation of projectile is: y=xtanθ-12gx2u2cos2θ where: y=Height=4-6=-2 ftx=Horizontal distance=320…

Answered: One of the tasks of the Mighty Hercules…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.5: Special Right Triangles

Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft...

See similar textbooks

Related questions

Concept explainers

Question

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.

Play around with different launch angles until you find the one that will hit the lion where he wants. You will need to be accurate to the hundredths place (two places after the decimal). For example, if you get 31 degrees will hit 4.7 that is too high. You might have to use 30.97 to get closer to exactly 4. Show all attempts that you made until you get the right angle.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ratios$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions