SOLUTION: Donald's school is due west of his house and due south of his friend Scarlett's house. The distance between the school and Scarlett's house is 3 kilometres and the straight-line di

Algebra ->  Pythagorean-theorem -> SOLUTION: Donald's school is due west of his house and due south of his friend Scarlett's house. The distance between the school and Scarlett's house is 3 kilometres and the straight-line di      Log On


   

Question 1196476: Donald's school is due west of his house and due south of his friend Scarlett's house. The distance between the school and Scarlett's house is 3 kilometres and the straight-line distance between Donald's house and Scarlett's house is 6 kilometres. How far is Donald's house from school? If necessary, round to the nearest tenth.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One needs to be able to follow the description and make a drawing, which will show a triangle, and the parts described can be labeled.

Description becomes a right triangle.
S, the school
X, Scarlet's house
D, Donald's house
Angle XSD is a right-angle.
XS=3
DS=6

Question asks for SD.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Donald's school is due west of his house and due south of his friend Scarlett's house. The distance between the school and Scarlett's house is 3 kilometres and the straight-line distance between Donald's house and Scarlett's house is 6 kilometres. How far is Donald's house from school? If necessary, round to the nearest tenth.
The other person's WRONG! A distance he gave you is the same distance he claims is being sought.

Having said that, the distance between Donald's and Scarlett's houses is: matrix%281%2C3%2C+sqrt%286%5E2+-+3%5E2%29%2C+%22=%22%2C+sqrt%2827%29%29. 

Calculate and round that!