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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 417 (page 998)

The tower portion of a windmill is 212 feet tall. A six foot tall person standing next to the tower casts a seven foot shadow. How long is the windmill’s shadow?

Short Answer

Expert verified

The windmill's shadow is 247 feet long

Step by step solution

01

Step 1. Given information

The tower portion of a windmill is $= 212 f e e t$

A six foot tall person standing next to the tower casts a seven foot shadow.

02

Step 2. Finding how long is the windmill’s shadow

Write a proportion

$\frac{6}{7} = \frac{212}{x} 6 x = 212 \times 7 [c r o s s m u l t i p l i c a t i o n] 6 x = 1484 x = \frac{1484}{6} x = 247.333$

Therefore,the wind,ill's shadow is 247 feet long

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Most popular questions from this chapter

. In this section, you learned to simplify the complex fraction $\frac{\frac{3}{x + 2}}{\frac{x}{x^{2} - 4}}$

two ways: rewriting it as a division problem multiplying the numerator and denominator by the LCD Which method do you prefer? Why?

In the following exercises, simplify.

$\frac{\frac{1}{2} + \frac{3}{4}}{\frac{3}{5} + \frac{7}{10}}$

Solve Proportions

$\frac{2 p + 4}{8} = \frac{p + 18}{6}$

In the following exercises, solve.

$\frac{4}{5} + \frac{1}{4} = \frac{2}{v}$

Ironing Lenore can do the ironing for her family’s business in h hours. Her daughter would take h + 2 hours to get the ironing done. If Lenore and her daughter work together, using 2 irons, the number of hours it would take them to do all the ironing is $\frac{1}{\frac{1}{h} + \frac{1}{h + 2}}$ .

Simplify the complex fraction $\frac{1}{\frac{1}{h} + \frac{1}{h + 2}}$ .
Find the number of hours it would take Lenore and her daughter, working together, to get the ironing done if $h = 4$ .

See all solutions

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