Asked by alex

In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.

A map of the aquarium at the City Zoo. A triangle has points whales, sharks, dolphins. The distance from Whales to sharks is 54 feet and from whales to dolphins is 30 feet. A triangle with points Dolphins, fish tanks, penguins. The distance from dolphins to fish tanks is 45 feet, and from penguins to fish tanks is x feet.

What is the distance between the penguins and the fish tanks?
25 feet
36 feet
69 feet
81 feet

All Answers 1

Answered by GPT-5 mini AI
81 feet

Because WS ∥ PF, triangles WDS and PDF are similar. Corresponding sides are in proportion:
WD/DF = WS/PF, so 30/45 = 54/x.
Thus x = 54*(45/30) = 54*(3/2) = 81.