Respuesta :
Use the Pyth. Theorem:
35^2 + 42^2 = (shortest distance)^2
(shortest distance)^2 = 2989
shortest distance = sqrt(2989) = 54.7 miles
35^2 + 42^2 = (shortest distance)^2
(shortest distance)^2 = 2989
shortest distance = sqrt(2989) = 54.7 miles
Answer:
54.67 miles North West
Step-by-step explanation:
Mark is going 35 miles North and 42 miles West. The shortest distance is a straight line and to get the straight line we have to draw a rectangle (it comes as an image not in scale).
We know that it will be a right triangle because if we turn West from North we are turning 90 degrees.
Now we have to get the distance with the formula of distance using Pythagoras formula:
distance = √(a²+b²)
Where:
a is the first distance and b is the second distance:
We substitute in the formula:
distance = √(35² + 42²)
distance = √(1225 + 1764)
distance = √(2989)
distance = 54.67 miles
