Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

HEIGHT OF A TREE The tree shown below casts a shadow 24 feet long when a man 6 feet tall casts a shadow 4 feet long. Find the height of the tree.

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by Holly Miner

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

No Related Courses

Chapter 9

An Introduction to Geometry

Section 5

Congruent Triangles and Similar Triangles

02:07

HEIGHT OF A TREE The tree …

00:23

Height of a Tree. $A$ tree…

01:08

At the same time of day, a…

01:26

SHADOWS At the same time a…

02:00

The shadow of a tree is 40…

02:55

Suppose that a bush 3 ft t…

00:45

HEIGHT OF A TREE A tree ca…

02:37

To determine the height o…

02:24

To determine the height of…

02:02

A person who is 6 feet tal…

So we're working with two similar triangles again. Um, the man cast a shadow of four feet, and the traesch casts a shadow of 24 feet. So these two triangles here are made that are similar, and so we're gonna find the corresponding parts. This four foot corresponds to the 24 foot shadow, and the height of the man corresponds the height of the tree s. So we're gonna build those ratios. Weaken, say, six is to the height of the tree, as the four foot shadow is to the height of the shadow of the tree. Now, it's really important that we have, um, the triangle that's formed by the man both on top and the triangle that's formed by the tree on the bottom. Okay, so we can dio scale factor to find the unknown. The heights of four times six is 24 so six times six is 36. So we know that the height of the tree is

View More Answers From This Book

Find Another Textbook

00:40

Calculate the momentum of a ball of mass 450g moving with a speed of 120km/m…

The largest number of four digits exactly divisible by 77 is

01:12

The perimeter of a square field is 176 m.Find the area of the field

01:24

how to find 60 rational numbers between 0.9 and 1

00:52

A room measures 4.8 and 5.04m Find the size of the longest square tile that …

03:05

A bag contains six sticks of the following lengths - 1 cm, 3 cm, 5 cm, 7 cm,…

06:13

Two metals X and Y are to be used for making two different alloys. If the ra…

03:08

what is to be subtracted from 10908 to get a perfect square

01:45

If the sum of first 7 terms of an AP is 119 and that of the first 17 terms i…

02:01

The cake weighing 1.98kg is cut into two parts so that the first part is hea…