7. On the first day of her backpacking trip, Aimee hiked 11 miles due east and camped overnight. The next day, she took a trail at an angle of 23° northwest from the previous day and hiked 10 miles. How far will she have to hike on
the third day to go back to her starting place using the most direct route?

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it