Pre algebra / ||| how many kilometers is it from the main gate to the manatee springs? (hint: to convert from yards to kilometers, multiply by 0.0009144). round answer to the nearest hundredth kilometer.

Step-by-step explanation:

Going by the angle indicators, the ratios of corresponding sides of the similar triangles are ...

  x/2000 = 4200/3500

  x = 2000·6/5 = 2400 . . . . yards

Then the distance of interest is ...

  (2400 yd + 4200 yd)×(0.0009144 km/yd) = 6.6×.9144 km

  = 6.03504 km ≈ 6.04 km

Going by the red hash marks, the ratios of corresponding sides of the similar triangles are ...

  x/2000 = 3500/4200

  x = 2000·(5/6) = 5000/3 . . . . yards

Then the distance of interest is ...

  (5000/3 + 4200) yd × 0.0009144 km/yd ≈ 5.36 km

Comment on the figure

The usual geometry here is that the outside legs (opposite the vertical angles) are parallel, meaning that the angle indicators are the correct marks. It is possible, but unusual, for the red hash marks to be correct and the angle indicators to be mismarked. The red hash marks seem tentatively drawn, so seem like they're more likely to be the incorrect marks.

step-by-step explanation:

for the free