11
TRIG. IN THE REAL WORLD JAS ON Y U – 6 TH P E RIOD – 1 2/02 /2011

Real World Application of Trigonometry

Embed Size (px)

DESCRIPTION

 

Citation preview

Page 1: Real World Application of Trigonometry

TRIG

. IN T

HE REAL W

ORLD

J AS

ON

YU

– 6

TH P

ER

I OD

– 1

2/ 0

2/ 2

01

1

Page 2: Real World Application of Trigonometry

WHAT

IS T

RIGONOMET

RY?

Trigonometry is the branch of mathematics that studies triangles and their relationships.

And how

is it

use

d?

Page 3: Real World Application of Trigonometry

THE

PYRAMID

S OF

GIZA

Primiti

ve fo

rms

of tr

igon

omet

ry w

ere

used in

the

const

ruct

ion o

f thes

e w

onder

s of

the

wor

ld.

Page 4: Real World Application of Trigonometry

ARCHITECTURE

In architecture, trigonometry plays a massive role in the compilation of building plans.

For example, architects would have to calculate exact angles of intersection for components of their structure to ensure stability and safety.

Some instances of trigonometric use in architecture include arches, domes, support beams, and suspension bridges.

Architecture remains one of the most important sectors of our society as they plan the design of buildings and ensure that they are able to withstand pressures from inside.

Page 5: Real World Application of Trigonometry

HOW DO I GET INVOLVED IN ARCHITECTURE?

C L A S S E S T O T A K E

Physics

Geometry

Trigonometry

Pre-Calculus and Calculus

Engineering

3-D Design

Drawing

* Art classes will assist you in being able to conceptualize objects!

S A L A R Y A N D B E N E F I T S

Most architects start out with a salary of $50,000+, and through experience, may earn up to $140,000+

Becoming an architect will open you to many more careers, including interior design and building design!

Page 6: Real World Application of Trigonometry

JANTA

R MANTA

R

OBSERVATO

RY

For m

illen

ia, t

rigon

omet

ry h

as p

laye

d a m

ajor

role

in

calc

ulatin

g dis

tance

s bet

wee

n ste

llar o

bject

s an

d thei

r

paths.

Page 7: Real World Application of Trigonometry

ASTRONOMY

Astronomy has been studied for millennia by civilizations in all regions of the world.

In our modern age, being able to apply Astronomy helps us to calculate distances between stars and learn more about the universe.

Astronomers use the method of parallax, or the movement of the star against the background as we orbit the sun, to discover new information about galaxies.

Menelaus’ Theorem helps astronomers gather information by providing a backdrop in spherical triangle calculation.

Page 8: Real World Application of Trigonometry

HOW DO I GET INVOLVED IN ASTRONOMY?

C L A S S E S T O T A K E

Physics

Electronics

Advanced Math

Geometry

Precalculus and Calculus

Astrophysics

S A L A R Y A N D B E N E F I T S

The median salary for Astronomers is $97,270 a year, with most entry level jobs amounting to around $50,000 a year.

As an aside to being an astronomer, one can also acquire a teaching position at a research university!

Page 9: Real World Application of Trigonometry

GRAND CANYO

N SKY

WALK

Geolo

gists

had

to m

easu

re th

e am

ount o

f pre

ssure

that

surr

oundin

g rock

s co

uld w

ithst

and b

efor

e co

nstru

ctin

g

the

skyw

alk.

Page 10: Real World Application of Trigonometry

GEOLOGY

Trigonometry is used in geology to estimate the true dip of bedding angles. Calculating the true dip allows geologists to determine the slope stability.

Although not often regarded as an integral profession, geologists contribute to the safety of many building foundations.

Any adverse bedding conditions can result in slope failure and the entire collapse of a structure.

Page 11: Real World Application of Trigonometry

HOW DO I GET INVOLVED IN GEOLOGY?

C L A S S E S T O T A K E

Physics

Chemistry

Precalculus and Calculus

Geometry

Geochemistry

Seismology

S A L A R Y A N D B E N E F I T S

Median wages for Geologists are around $70,000. However, if involved in oil extraction, earnings could increase to over $130,000 a year.

Geologists can be very flexible in what they decide to do. There are a multitude of job options ranging from agriculture to tourism that require the work of a geologist.