An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180 meters away? (Use g =9.81 m/s²). You must show your work. Calculus III Tower, 120 m 45° Distance to Tower, 180 m

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Please use calculus III

An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must
the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180
meters away? (Use g =9.81 m/s“ ). You must show your work. Calculus III
Tower, 120 m
45°
Distance to Tower, 180 m
Transcribed Image Text:An archer fires an arrow from ground level at an angle of 45° with the horizontal. What must the initial velocity be for the archer to hit a target at the top of a 120 meter tower located 180 meters away? (Use g =9.81 m/s“ ). You must show your work. Calculus III Tower, 120 m 45° Distance to Tower, 180 m
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The value of a unit in a particular direction can be found out using the angle made in that direction and applying trigonometric ratios.

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