Question

Starting at home a salesman drove 20km east, then 9km north, then 4km east. finally, he drove x km south and at that point he was exactly 25 km away from his home. find x.

Answer 1

d = 24km@0o+9km@90o+4km@0o+Nkm@270o.

Find N.
X = 20+4 = 24 km.
Y = (8-N)km

d^2 = X^2 + Y^2 = 35^2.
d^2 = (130^2+(8-N)^2 = 35^2
576+(N^2-16N+64) = 1225
N^2-16N+640-1225 = 0
N^2-16N-585 = 0
N = 33.475(Use Quad. Formula)

Answer 2

Oops! Name is Henry. Not anonymous.