Question

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"

Answer 1

Answer:

11.2 miles

Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

• 10 mi east - 10 miles to the right. then,
• 5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.

Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

$10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18$

Rounding to nearest tenth, we have 11.2 miles

Answer 2

We have that the distance  is mathematically given as

AB=11.2miles

From the question we are told

• "a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work.
• if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"

Distance  

Generally the equation for the Pythagoras Theorem  is mathematically given as

AB^2=AC^2+BC^2

Therefore

AB^2=10^2+5^2

AB=11.2miles

For more information on distance   visit

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