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: Recognize right - triangle

The two paths form a right - triangle. The north - west path (Option 1) is the two legs of a right - triangle and the straight path (Option 2) is the hypotenuse. Let the north - ward distance be $a = 660$ feet, the west - ward distance be $b$, and the hypotenuse $c=1190$ feet.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$. We can solve for $b$: $b=\sqrt{c^{2}-a^{2}}$.
Substitute $a = 660$ and $c = 1190$ into the formula: $b=\sqrt{1190^{2}-660^{2}}=\sqrt{(1190 + 660)(1190 - 660)}=\sqrt{1850\times530}=\sqrt{980500}$.

Step3: Calculate the value of $b$

$\sqrt{980500}\approx990.2$.

Step4: Round to the nearest whole number

Rounding 990.2 to the nearest whole number gives 990.

Answer:

990