How do i find m?

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1 Answer
Mar 21, 2018

#m=6.93# miles

Explanation:

.

This is a special right triangle, i.e. a #30^@, 60^@, 90^@# triangle. In such a triangle, the side facing the #30^@# angle has half the length of the hypotenuse.

This means the hypotenuse is #8# miles long.

We can now use the Pythagorean formula to solve for #m#.

#8^2=4^2+m^2#

#64=16+m^2#

#m^2=64-16=48#

#m=sqrt48=6.93# miles