Answer:
About 60.77 feet
Step-by-step explanation:
Attached pic.
Blue line is of Bethany
Green line is of Ben
Red line is the distance between them [what we are trying to find]
We can use pythagorean theorem that tells us:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse of the right triangle [red lines in both respective triangles]
and
a, b are the two other sides of the triangle
Left Triangle (using pythagorean theorem):
Base is 30
Left side is 20 - 10 = 10
So,
[tex]c^2=30^2+10^2\\c=\sqrt{30^2+10^2} \\c=31.62[/tex]
Right Triangle (using pythagorean theorem):
[tex]c^2=25^2 + 15^2\\c=\sqrt{25^2 + 15^2} \\c=29.15[/tex]
Distance between Bethany and Ben = 31.62 + 29.15 = 60.77 feet
