Answer:
(1) 25.1 feet
(2) 6.6 feet
Step-by-step explanation:
(1) This is an application of Pythagoras theorem , where the hypotenuse is the diagonal of the rectangle .
Pythagoras theorem states that :
The square of the hypotenuse = sum of the square of other two sides of the triangle.
Let the hypotenuse be x , then
[tex]x^{2} = 10^{2}+23^{2}[/tex]
[tex]x^{2} = 100 + 529[/tex]
[tex]x^{2} = 629[/tex]
[tex]x = 25.07987241[/tex]
[tex]x[/tex]≈25.1 feet
(2) It is also an application of Pythagoras theorem.
Let the distance from her starting point be y , then
[tex]y^{2} =3.4^{2}+5.7^{2}[/tex]
[tex]y^{2} = 11.56 + 32.49[/tex]
[tex]y^{2} = 44.05[/tex]
[tex]y = 6.637017402[/tex]
Therefore , she is 6.6 miles from her starting point
