## Related questions with answers

Question

Redon is $6 \mathrm{ft} 2 \mathrm{in}$. tall, and his shadow is $4 \mathrm{ft} 1 \mathrm{in}$. long. At the same time, a building casts a shadow that is $19 \mathrm{ft} 10 \mathrm{in}$. long. Estimate the height of the building.

Solution

VerifiedStep 1

1 of 2Write a proportion to find the height of the building :

$\begin{gather*} \frac{6\text{ ft }2\text{ in.}}{h}=\frac{4\text{ ft }1\text{ in.}}{19\text{ ft }10\text{ in.}}\\ \frac{74\text{ in.}}{h}=\frac{49\text{ in.}}{238\text{ in.}} \end{gather*}$

Cross-multiply:

$\begin{gather*} 74\cdot238=h\cdot49\\ 17612=49h. \end{gather*}$

Divide both sides by $49$ :

$\begin{gather*} h=359.4285..\approx359.43\text{ in.}\\ h=29\text{ ft }11.43{ in.} \end{gather*}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Mathematics Grade 7 (Common Core Edition)

1st Edition•ISBN: 9780547647173Holt McDougal4,558 solutions

## More related questions

1/4

1/7