To find the distance between the library and the park, we need to use the Pythagorean theorem because the triangle formed by Kathy's home, the park, and the library is a right triangle.
Let x be the distance between the library and the park.
Using the Pythagorean theorem:
(9)^2 + x^2 = (12)^2
81 + x^2 = 144
x^2 = 63
x = √63
x ≈ 7.94 miles
So, the distance between the library and the park is approximately 7.94 miles.
To find the distance between the park and the football field, we need to calculate the sum of the distances between the park and the library and between the library and the football field.
Distance between park and library: 9 miles
Distance between library and football field: 12 miles
Therefore, the distance between the park and the football field is 9 + 12 = 21 miles.
Kathy lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kathy’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.
How far is the library from the park? How far is the park from the football field? (1 point)
1 answer
1 answer