1. Francis Rey, together with his pet dog, walked 35.0 meters North and continued for 17.0 meters more. How far is he from his starting point?
35 + 17 = ?
To find out how far Francis Rey is from his starting point, we need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the distance Francis Rey walked North and the additional distance he walked form the two sides of a right triangle. We can use the Pythagorean theorem to find the length of the hypotenuse, which represents his distance from the starting point.
Let's label the distance he walked North as side A and the additional distance he walked as side B.
Side A = 35.0 meters
Side B = 17.0 meters
Using the Pythagorean theorem, we can calculate the length of the hypotenuse (distance from the starting point):
Hypotenuse^2 = Side A^2 + Side B^2
Hypotenuse^2 = 35.0^2 + 17.0^2
Hypotenuse^2 = 1225 + 289
Hypotenuse^2 = 1514
Taking the square root of both sides, we can find the length of the hypotenuse (distance from the starting point):
Hypotenuse = √1514
Hypotenuse ≈ 38.93 meters
Therefore, Francis Rey is approximately 38.93 meters away from his starting point.