A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

Question

3 years ago

12

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Mathematics

1 answer:

frez [133] · Answer 1 · 2022-01-02T06:31:30+03:00

frez [133]3 years ago

4 0

We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
14.42 - 12 = 2.42 in
The direct distance between the lizard and the cactus is 2.42 inches.