ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Modeling and Applications Videos 10 videos

CAHSEE Math 1.2 Measurement and Geometry
191 Views

CAHSEE Math Measurement and Geometry: Drill Set 1, Problem 2. Convert the value to meters per second.

CAHSEE Math 5.1 Measurement and Geometry
189 Views

Measurement and Geometry Drill 5 Problem 1. A parcel of land measuring 64 square kilometers is equivalent to an area of how many square miles?

ACT Math 1.1 Elementary Algebra
441 Views

ACT Math: Elementary Algebra Drill 1, Problem 1. What is Ben's current age?

See All

TSI Math: Using Proportions to Find the Height of a Shadow 24 Views


Share It!


Description:

Arya went for a walk in the woods and came upon a tree in an open field. The tree cast a 72-foot shadow. If Arya is five feet tall and cast a six-foot shadow, then how many feet tall is the tree?


Transcript

00:02

Okay sy math people We have a whole section here

00:05

on modeling A different kind of modeling area went for

00:10

a walk in the woods and came upon a tree

00:12

in an open field The tree cast a seventy two

00:15

foot shadow If area is five feet tall and cast

00:18

a six foot shadow Well then how many feet tall

00:21

is the tree Cool question All right well the treated

00:27

open field sounds picture ask very game of thrones e

00:30

now make a super unpick shirt a diagram of the

00:34

situation here aria and her shadow and the tree and

00:37

its shadow form two similar triangles like this The triangles

00:41

are similar because both aria and the tree stand perpendicular

00:44

to the ground and the sun shines on both of

00:47

them at the same angle right Similar triangles have proportional

00:50

sides right so let's let h stand for the height

00:53

of the tree instead of her proportion here So height

00:56

is to shadow as h is to seventy two as

00:59

five to six right are yet to tree and feet

01:02

cross multiply to solve and we've got six h is

01:05

seventy two times five or six h is three sixty

01:08

Divide both sides by six and we get that age

01:11

is sixty feet The height of the tree is sixty

01:14

feet so that's it The answer is being and four 00:01:17.295 --> [endTime] smoked along with aria

Related Videos

TSI Writing: Revising a Letter by Adding Transitions
145 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
25 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?