Question

I live exactly 42.6 miles from my mom. To get to her house I drive 36.25 miles due North. I turn right and drive due East onto 191st and drive
straight to her house. How many miles do I drive on 191st street? 1.____

Answer to the nearest whole mile. 2.____

Answer

to one significant digit. 3.____

Answer to two significant digits. 4._____

Answer to three significant digits. 5.______

Answer to four significant digits. 6.

Which makes the most sense for this problem, why?

Answer 1

We turned from North to East , so angle his house road and 191st street is 90°.

Hypotenuses , H = 42.6 miles.

First Side , L = 36.25 miles.

Let , miles drive on 191st street is x.

Now , by Pythagoras theorem :

$H^2=L^2+B^2\\\\B=\sqrt{H^2-L^2}\\\\B=\sqrt{42.6^2-36.25^2}\\\\B=22.38\ miles$

Therefore, miles drive on 191st street is 22.38 miles.

Hence, this is the required solution.