SOLUTION: A boardwalk is parallel to and 210 ft inland from a straight shoreline. A man is standing on the boardwalk, exactly 750 ft across the sand from his beach umbrella, which is right a
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Question 255994: A boardwalk is parallel to and 210 ft inland from a straight shoreline. A man is standing on the boardwalk, exactly 750 ft across the sand from his beach umbrella, which is right at the shoreline. The man walks 4 ft/s on the boardwalk and 2 ft/s on the sand. How far should he walk on the boardwalk before veering off onto the sand if he wishes to reach his umbrella in exactly 4 min 45 sec. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A boardwalk is parallel to and 210 ft inland from a straight shoreline.
A man is standing on the boardwalk, exactly 750 ft across the sand from his beach umbrella, which is right at the shoreline.
The man walks 4 ft/s on the boardwalk and 2 ft/s on the sand.
How far should he walk on the boardwalk before veering off onto the sand if he wishes to reach his umbrella in exactly 4 min 45 sec.
:
Work this in seconds; 4 min 45 sec = 285 seconds
:
Find out how long to arrive at his umbrella, at the two extremes
:
1.Heading directly to umbrella across the sand 750ft away = 325 sec
:
2. Walking the board-walk to a point directly in front of the umbrella then
heading across the sand 210 ft
:
Find the boardwalk distance (b), one leg of a right triangle
b =
b = 720 ft, the dist on the board walk
:
total time = time on b.w + time on sand
t = +
t = 180 + 105
t = 285 sec which is 4 min 45 sec
:
Answer: 720 ft on the boardwalk
