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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 7.92 (page 701)

A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?

Short Answer

Expert verified

The pine tree is 60 feet long.

Step by step solution

01

Given information

The pine tree casts the shadow 80 feet along with the 30-feet tall building casts the shadow 40 feet.

02

Find the length of the pine tree

Apply the proportions to find the length of the poll.

As given, the proportion for the tree and the building with respect to the shadow is the same.
Hence solve equation (1) to find the value of h that represents the length of the tree.

$\begin{array}{rcl} \frac{h}{80} & = & \frac{30}{40} \\ h & = & \frac{30}{40} \times 80 \\ = & 30 \times 2 \\ = & 60 f e e t \end{array}$

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Most popular questions from this chapter

For the following exercises, find $R (x) = f (x) g (x)$ where $f (x) a n d g (x)$ are given.

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