Answer:
The anchor is 12 feet far from the point directly below the boat.
Step-by-step explanation:
Given that:
Length of rope connecting the dive boat to an anchor = 13 feet
Depth of water = 5 feet
Here,
The rope connecting the dive boat to the anchor will serve as hypotenuse of a right angle triangle, depth of water will be the height of triangle and distance from anchor to point directly below the boat will be base of triangle.
Using Pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
a = 5 , c = 13
[tex](5)^2+b^2=(13)^2\\25+b^2=169\\b^2=169-25\\b^2=144[/tex]
Taking square root on both sides
[tex]\sqrt{b^2} =\sqrt{144}\\b=12[/tex]
Hence,
The anchor is 12 feet far from the point directly below the boat.
