Answer
The distance between Valerie and Anya = 80 ft.
Explanation
In order to answer this, we need to first represent the situation described with an image
We can seethat the whole situation can be described using a right angle triangle.
The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,
a² + b² = (hyp)²
For this question,
a = 60 ft
b = distance between Valerie and Anya = x = ?
hyp = 100 ft
a² + b² = (hyp)²
60² + x² = 100²
3600 + x² = 10000
x² = 10000 - 3600
x² = 6400
Take the square root of both sides
√(x²) = √(6400)
x = 80 ft
Hope this Helps!!!
