Lieutenant Santos orders an air strike in the battlefield targeting the enemy at a coordinate (2, 5). If he is positioned at a coordinate (-14, -12), how far is he from the target area? If the danger zone is within the 10 km radius from the strike point, is Lt. Santos safe? (Let 1 unit = 1 km).
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pakisagot po ng maayos olease kelangan ko lang talaga ng sagot
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DISTANCE FORMULA
Problem:
Lieutenant Santos orders an air strike in the battlefield targeting the enemy at a coordinate (2, 5). If he is positioned at a coordinate (-14, -12), how far is he from the target area? If the danger zone is within the 10 km radius from the strike point, is Lt. Santos safe? (Let 1 unit = 1 km).
Answers with Step-by-step explanation:
First we need to solve for the distance of Lieutenant Santos from the strike point given the coordinates of the two locations. We can solve this using the distance formula which is the square root of the sum of the squares of the differences of the x coordinates and y coordinates of the two points. Mathematically, we can express this as an equation:
By direct substitution, we have:
So therefore, Lt. Santos is about 23.35 units away from the strike point.
If the danger zone is within the 10 km radius but Lt. Santos is at 23.35 units away from the strike point, hence, we can say that he is safe.
Learn more about distance formula:
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