So to find the ratio of the actual house to the house in the picture you would divide 72/4 to get 18. this means that the ratio is 18:1. Now multiply 2.5 x18 to get the real life height of the house. 2.5x18=45.
So the house is 45 feet tall.
Please anyone correct me if I'm wrong but I think this is right.
Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Answer:
1.627 miles
Step-by-step explanation:
longest distance - 2.55 miles
shortest distance - 0.923 miles
difference = 2.55-0.923
=1.627 miles
