Answer:
Step-by-step explanation:
Given that the park is 6 miles due west of your house, and the library is 11 miles north of your house.
Thus the park and library forms the legs of a right triangle with shortest distance being the hypotenuse (provided there are no buildings in between)
We can use pythagoren theorem to find the shortest distance i.e. hypotenuse.
Shortest distance^2 =[tex]\sqrt{6^2+11^2} =\sqrt{197}[/tex]
We find that square root is 14.03
Thus shortest distance is 14 miles.
The shortest distance from the park to the library is 12.53 miles.
It is the measure of the length between the two points. It is a scalar quantity.
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Given
The park is 6 miles due west from your house.
And the library is 11 miles north of your house.
The shortest distance from the park to the library.
Perpendicular P = 11
Bas B = 6
We know the Pythagoras theorem.
H² = P² + B²
H² = 11² + 6²
H² = 121 + 36
H² = 157
H = 12.53
Thus, The shortest distance from the park to the library is 12.53 miles.
More about the distance link is given below.
https://brainly.com/question/989117
