In the map below, the path from the zebras to the monkeys is parallel to the path from the tigers to the elephants.

A map of the City Zoo. A triangle has points Zebras, Monkeys, lions. The distance between zebras and monkeys is 80 feet and from monkeys to lions is x feet. A triangle has points tigers, elephants, lions. The distance from lions to tigers is 132 feet and from tigers to elephants is 120 feet.

What is the distance between the lions and the monkeys?
40 feet
88 feet
92 feet
198 feet

Respuesta :

Cxmix

Answer:

64ft

Step-by-step explanation:

Ver imagen Cxmix

The distance between the lions and the monkeys is; 64 ft

How to calculate distance using similar Triangles?

From the given diagram, we see two triangles;

Triangle one formed by Zebras, Monkeys, lions.

Triangle two formed by tigers, elephants, lions

Now, from the given triangles we can see that they are similar and using the given dimensions, we can use proportion to find distance between the lions and the monkeys as;

52/78 = x/96

where x is the unknown distance we are looking for

We cross multiply to get;

4992 = 78x

Divide both sides by 78 to get;

x = 64 ft

Read more about Similar Triangles at; https://brainly.com/question/14285697