The next stop on the road trip is the zoo! jacob goes to find his favorite animal, the giraffe. jacob wonders how tall the tallest giraffe at the zoo is. if jacob is 5 feet 6 inches and his shadow at the time is 3 feet long, find the height of the giraffe whose shadow is 5 feet 9 inches at the same time.

Respuesta :

1 foot = 12 inches
Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches
Jacob's shadow = 3 feet = 36 inches

giraffe's shadow = 5 feet 9 inches = 5 * 12 + 9 = 69 inches

by the ratio and proportion

Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow

∴ 66/36 = Height of giraffe/69

∴ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches

The height of the giraffe whose shadow is 5 feet 9 inches at the same time will be 10 feet and 6.5 inches.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

The next stop on the road trip is the zoo.

Jacob goes to find his favorite animal, the giraffe.

Jacob wonders how tall the tallest giraffe at the zoo is.

If Jacob is 5 feet 6 inches and his shadow at the time is 3 feet long.

Then the height of the giraffe whose shadow is 5 feet 9 inches at the same time will be

Let x be the hieght of the giraffe. Then we have

The ratio will remain constant.

x / 5.75 = 5.5 / 3

x = 10.54

x = 10 feet 6.5 inches

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2