The new york knicks play in madison square garden, the los angeles lakers play in the staples center and the miami heat play in american airlines arena. madison square garden is about 2.8*10^3 miles from staples center and madison square garden is about 1.4*10^3 miles from american airlines arena. how many times of the distance the knicks play the miami heat to the distance the knicks travel to play the lakers?

The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

Explanation:

Teams and their courts.

 New York knicks - Madison square garden

 Los Angeles Lakers  - Staples center

 Miami heat - American Airlines arena

Distance between courts.

 Madison square garden to Staples center =

 Madison square garden to American Airlines arena =

When knicks play Miami heat distance traveled = Distance between Madison square garden and American Airlines arena

                                =

When knicks play Los Angeles Lakers distance traveled = Distance between Madison square garden and Staples center

                                =

Ratio of distances traveled =

So, The distance traveled by knicks when they play Miami heat is 0.5 times of distance traveled by knicks when they play Los Angeles Lakers.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2