A jet is 115 mi east and 88.3 i north of Niagara Falls. What is its displacement from Niagara Falls?
just recall your Pythagorean Theorem. It's also a distance formula.
To find the displacement from Niagara Falls, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this problem, the eastward distance is 115 miles and the northward distance is 88.3 miles. We can consider these two distances as the sides of a right triangle. Let's call the eastward distance "a" and the northward distance "b". The displacement, which is the hypotenuse of the triangle, can be represented by "c".
Using the Pythagorean theorem, we have the equation:
c^2 = a^2 + b^2
Plugging in the values for our distances:
c^2 = (115)^2 + (88.3)^2
Now, we can use a calculator to calculate the sum of the squares and find the square root to get the value of c, which represents the displacement.
c ≈ √(115^2 + 88.3^2)
c ≈ √(13225 + 7812.89)
c ≈ √21037.89
c ≈ 145.007
Therefore, the displacement of the jet from Niagara Falls is approximately 145.007 miles.