Katrina lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Katrina’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 4 miles from her home. The football field is 18 miles from the library.
a. How far is the library from the Park?
b. How far is the park from the football field?
My answer c
A. square root 22 miles; 2 square root 10miles
B. 2 square root 10 miles; square root 22 miles;
C. 6 square root 2 miles; 6 square root 11 miles
D. 6 square root 11 miles; 6 square root 2miles
those were the answer choices
The answer is c
What answer? I think that's what Steve means!!
does anybody have the answers to the 47 questions test?
I agree... I think.
ANyone HaVe ThE WhOlE TeST
To determine the distance of the library from the park and the park from the football field, we can use the Pythagorean theorem.
Let's assume the following:
- Katrina's home is point A
- The park is point B
- The library is point C
- The football field is point D
Now, let's break down the given information:
1. Katrina lives directly east of the park.
This means that line AB is oriented in the east-west direction.
2. The football field is directly south of the park.
This means that line BD is oriented in the north-south direction.
3. The library sits on the line formed between Katrina’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.
This gives us a right triangle ABC, where line AC is the altitude from point C to the line BD.
Now, let's calculate the distances:
a. How far is the library from the park?
We know that the library is 4 miles from Katrina's home, which means line AC has a length of 4 miles.
To find the length of line BC, we can use the Pythagorean theorem:
BC^2 = AB^2 - AC^2
BC^2 = AB^2 - 4^2
BC^2 = AB^2 - 16
Since we don't have the exact value of AB, we cannot calculate the exact length of BC without additional information.
b. How far is the park from the football field?
We know that the football field is 18 miles from the library, which means line BD has a length of 18 miles.
To find the length of line AB, we can use the Pythagorean theorem:
AB^2 = AC^2 + BC^2
AB^2 = 16 + BC^2
Since we still don't have the exact value of BC, we also cannot calculate the exact length of AB without additional information.
In conclusion, based on the given information, we cannot determine the exact distances of the library from the park or the park from the football field.