Answer: The distance is 6 miles
Step-by-step explanation: Please refer to the attached diagram for details.
The library which is point L is 3 miles due west of the post office which is point P. Also the dollar general which is point D is 5 miles south of the library.
With this bit of information we now have a right angled triangle PLD and the distance from the post office point O, to the dollar general point D which is line PD is unknown.
Having derived a right angled triangle with two sides already given, we shall apply the Pythagoras theorem which states that
AC² = AB² + BC²
Where AC is the longest side or hypotenuse and AB and BC are the other two sides. With the known values the formula can now be written as;
PD² = 5² + 3²
PD² = 25 + 9
PD² = 36
Add the square root sign to both sides of the equation
√PD² = √36
PD = 6
Therefore the distance from the post office to the dollar general is 6 miles
Answer:
the distance from the post office to Dollar General is 5.83 miles
Step-by-step explanation:
Here we have
Distance from the library to the post office = 3 miles
Location of the library from the post office = 3 miles west
Location of the Dollar General from the library = 5 miles south
We note that from the description, the location the post office, the library and Dollar General form a right triangle
Therefore, the distance from the post office to Dollar General is given by the hypotenuse side of the triangle which is found as follows;
Hypotenuse² = Adjacent² + Opposite²
Substituting we get
Hypotenuse² = 3² + 5² = 34
Therefore the distance from the post office to Dollar General = √Hypotenuse
= √34 = 5.83 miles.
