Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A 5.ft tall man casts a shadow along the ground that is 8 ft. long. At the same time a giraffe casts a shadow that is 12 ft. long. How tall is the Giraffe?

Sagot :

Answer :  7.5 ft

Step-by-step explanation:

when the length of the shadow is 8ft, the actual height of the man = 5ft

8:5

let the giraffe be 'x' ft tall.

if the length of the shadow is 12ft, actual height = x ft

12:x

8:5 x 12:x

[tex]\frac{8}{5}[/tex] × [tex]\frac{12}{x}[/tex]

x= [tex]\frac{15}{2}[/tex]

x=7.5 ft

Therefore, the giraffe is 7.5ft tall.

jacob193

Answer:

[tex]7.5\; {\rm ft}[/tex].

Step-by-step explanation:

The height of objects nearby under the sun are approximately proportional to the length of their shadows.

In other words, if the man and the giraffe are near each other and under the sun:

[tex]\begin{aligned} \frac{\text{height of man}}{\text{length of shadow of man}} = \frac{\text{height of giraffe}}{\text{length of shadow of giraffe}}\end{aligned}[/tex].

Given that:

  • [tex](\text{height of man}) = 5\;{\rm ft}[/tex],
  • [tex](\text{length of shadow of man}) = 8\;{\rm ft}[/tex], and
  • [tex](\text{length of shadow of giraffe}) = 12\; {\rm ft}[/tex].

Rearrange the equation to find [tex](\text{height of giraffe})[/tex]:

[tex]\begin{aligned} (\text{height of giraffe}) &= (\text{length of shadow of giraffe})\times \frac{\text{height of man}}{\text{length of shadow of man}} \\ &= 12\; {\rm ft} \times \frac{5\; {\rm ft}}{8\; {\rm ft}} \\ &= 7.5\; {\rm ft}\end{aligned}[/tex].

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.