Question

HELP this is an end of year exam and i got a 64 the first time

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

Answer 1

81 feet

Explanation:

i got it right on edge

Answer 2

(D) 81 feet

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.

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.

Hope this helped!!!