swimmer in distress: A lifeguard located 2 metre from the water spots a swimmer in distress. the swimmer is 30 metre from shore and 100 metre east of the lifeguard. Suppose the lifeguard runs and then swims to the swimmer in a direct line, as shown in the figure. How far east from his original position will he enter the water?
Answers
Given : A lifeguard located 2 metre from the water spots a swimmer in distress.
the swimmer is 30 metre from shore and 100 metre east of the lifeguard.
the lifeguard runs and then swims to the swimmer in a direct line
To Find : How far east from his original position will he enter the water
Solution:
Let say life guard goes x m east to enter in water
then remaining = 100 - x m east
And goes towards swimmer in south = 2 m and remaining to go in south = 30 m
Using similar triangle concept:
x / (100 - x) = 2/30
=> 30x = 200 - 2x
=> 32x = 200
=> x = 25/4
=> x = 6.25 m
Hence 6.25 m east from his original position he enter into the water
if A lifeguard located 20 metre from the water
Then
x / (100 - x) = 20/30
=> 3x = 200 - 2x
=> 5x = 200
=> x = 40
Then 40 m east from his original position he enter into the water
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Step-by-step explanation:
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