In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks. what is the distance between the penguins and the fish tanks? 25 feet 36 feet 69 feet 81 feet

Since the line connecting from the whales to the sharks is parallel to the line connecting from the penguins to the fish tanks, the triangles shown in the figure are similar.

Using the property of similar triangles,

.

The correct choice is the last choice.

(D) 81feet      

Step-by-step explanation:

From the figure drawn, it is given that AB is parallel to DE, in ΔABC and ΔCDE, we have

∠BAC=∠DEC(Alternate angles)

∠ACB=∠DCE(Vertically opposite angles)

Thus, by AA rule, ΔABC is similar to ΔCDE.

Therefore, using the similarity property, we have

Thus, the distance between the penguins and the fish tanks is 81 feet.