PLEASE help me. This is due today
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Answer:
13.93 miles
Step-by-step explanation:
From the given information:
we are being told that a drove 13 miles towards east from home.
and make a left turn due north, thus travel 5 miles.
The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.
Let the horizontal base distance be x = adjacent side = 13 miles
Let the vertical distance be y = opposite side = 5 miles
Let the slant distance be z = hypotenuse side = ??? (unknown)
Therefore, using the pythagoras theorem.
(hypotenuse)² = (opposite)² + (adjacent)²
z² = y² + x²
z² = 5² + 13²
z² = 25 + 169
z² = 194
z = 13.93 miles