Question

elias and jerry have two options to walk from their school to a corner store. • option 1: walk 660 feet due north and then turn and walk due west • option 2: walk 1,190 feet on a straight path directly to the store through a park how many feet due west will elias and jerry walk if they choose option 1? round your answer to the nearest whole number. type the number in the box.

Explanation:

Step1: Identify the right triangle

The two paths form a right triangle, where the straight path (1190 ft) is the hypotenuse, the north path (660 ft) is one leg, and the west path (\(x\)) is the other leg.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem states \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse and \(a, b\) are the legs. Here, \(a = 660\), \(c = 1190\), and we solve for \(b\) (west distance):
\(b = \sqrt{c^2 - a^2}\)
\(b = \sqrt{1190^2 - 660^2}\)

Step3: Calculate the values

First, compute \(1190^2 = 1416100\) and \(660^2 = 435600\).
Then, \(1416100 - 435600 = 980500\).
Finally, \(b = \sqrt{980500} \approx 990\) (rounded to the nearest whole number).

Answer:

990