Tivo cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has

Question

Tivo cars leave the same parking lot, with one heading north and the other heading east. After
several minutes, the eastbound car has traveled 4 miles. If the two cars are now a straight-line
distance of 5 miles apart, how far has the northbound car traveled?

in progress 0
Caroline 3 weeks 2021-09-28T03:46:20+00:00 1 Answer 0

Answers ( )

    0
    2021-09-28T03:47:37+00:00

    The northbound car has traveled a distance of 3 miles.

    Step-by-step explanation:

    Step 1:

    The eastbound car has traveled a distance of 4 miles and if a straight line is drawn between the two car’s positions it would measure 5 miles.

    This forms a triangle which has a hypotenuse measuring 5 miles while one of the other sides measures 4 miles.

    Assume the distance traveled by the northbound car is x miles.

    Step 2:

    According to Pythagoras’ theorem,

    5^{2} = 4^{2} +x^{2}, x^{2} = 5^{2} -4^{2} =9.

    x^{2} =9, x=3.

    So the northbound car has traveled a distance of 3 miles.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )