elias and jerry have two options to walk from their school to a corner store.\n• option 1: walk 660 feet due…
elias and jerry have two options to walk from their school to a corner store.\n• option 1: walk 660 feet due north and then turn and walk due west\n• option 2: walk 1,190 feet on a straight path directly to the store through a park\nhow many feet due west will elias and jerry walk if they choose option 1? round your answer to the nearest whole number.\ntype the number in the box.
Answer
Explanation:
Step1: Recognize right - triangle
The two legs of the right - triangle are the north - south and west - east distances, and the hypotenuse is the straight - path distance. Let the north - south distance $a = 660$ feet, the west - east 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 $b$: $b=\sqrt{c^{2}-a^{2}}$.
Step3: Substitute values
Substitute $a = 660$ and $c = 1190$ into the formula: $b=\sqrt{1190^{2}-660^{2}}=\sqrt{(1190 + 660)(1190 - 660)}=\sqrt{1850\times530}=\sqrt{980500}$.
Step4: Calculate
$\sqrt{980500}\approx990.2$.
Step5: Round to nearest whole number
Rounding $990.2$ to the nearest whole number gives $990$.
Answer:
$990$