A building 50 ft casts a 75 ft shadow. Sarah casts a 6ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?

Question

karla52 karla52

11-11-2016
Mathematics

contestada

A building 50 ft casts a 75 ft shadow. Sarah casts a 6ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?

Respuesta :

Otras preguntas

Do you think that today's politicians try to attract young voters? Why or why not?

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of s

helppppppppppppppppppppppppppppppppppppppppp

Can someone help me with this?

Which of these statements are true? Select all that apply. The Delta.Hf for Br2(I) is 0 kJ/mol. The Delta.Hf for He(I) is 0 kJ/mol. The Delta.Hf for Hg(I) is 0

explain how we plot points in exact locations on the coordinate plane.

Where does the first stage of cellular respiration occur? W X Y Z

Examine this research question. What are solutions to homelessness in modern America Which of the following is the MOST relevant and credible source. addressi

Demo Consulting End-of-Period Spreadsheet For the Year Ended August 31, 20Y9 Unadjusted Adjusted Trial Balance Adjustments Trial Balance Account Title Dr. Cr. D

A rectangle has 8 tiles, 1/4 are blue, how many blue tiles are there

Аноним Аноним · Answer 1 · 2016-11-11T05:19:33+01:00

Since the triangles are similar, the side lengths are proportional. In other words, if a 50 foot building makes a 75 foot shadow, that is a ratio of 50/75, or 2/3 if you reduce it. This is the same ratio that describes Sarah's height, S, compared to her shadow, which the problem says is 6 feet long. So 2/3 = S / 6 You can cross multiply to find S... 12 = 3S..... so S = 4 feet tall... Sarah is 4 feet tall.