Trig Application

7/25/2019 Trig Application

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Applications of Trig

FunctionsEQ: How do I use trigonometry

in real-life application problems?


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Angles of Elevation and

Depression


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4. A closed circuit television camera ismounted on a wall .4 feet above a security

des! in an office building. It is used to viewan entrance door ".# feet from t$e des!.

%ind t$e angle of depression from t$e

camera lens to t$e entrance door.

.4 feet

?

?

".# feet


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&. '$e world(s longest escalator is t$e)eningrad *nderground in )enin +,uare. '$e

escalator $as an angle of elevation of .#/0and a vertical rise of "&.1 ft. %ind t$e

lengt$ of t$e escalator.

"&.1 feet

.#/0

?


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/. %ind t$e $eig$t of a flagpole w$ic$

casts a s$adow of ".#2 m w$en t$e sun

ma!es and angle of /#to t$e $ori3ontal.

9.32 m

63

63

?


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. A train must climb at a constantgradient of &.& m for every 2 m of

trac!. %ind t$e angle of incline.

200m5.5 m

?


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1. %ind t$e pitc$ of t$e roof.


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Trigonometry and 3-DFigures

EQ: How do you findtrigonometric ratios to find

un!nown sides and angles in #-5figures?


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". In t$e triangular prism find 5% and

t$e angle A%5.


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. All edges of a s,uare-based pyramidare cm in lengt$. %ind t$e angle

between t$e slant edge and a basediagonal.


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. %ind t$e angle between Q6 and t$ebase of t$e #-5 figure.


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2. %ind t$e angle 78 ma!es wit$ Q8.


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#. A symmetric s,uare-based pyramid$as base lengt$s of /cm and $eig$t of1cm as s$own. %ind t$e measure of t$e

face 'Q9 and t$e base


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Areas of Triangles

EQ: How do you find t$e area ofa triangle using trigonometry?


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Review


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What happens if you dont

now the height!!!

'$ere are some cases w$ere you don(t

need t$e $eig$t to find t$e area


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What happens if you dont

now the height!!!

'$ere are some cases w$ere you don(t

need t$e $eig$t to find t$e area

;ou $ave two sides and t$e

included angle


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"a#eling a Triangle

If you $ave a triangle A


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Formula for the Area of a Triangle

when you have $ sides and the includedangle%

'$e area of triangle is $alf of t$eproduct of two sides and t$e sine oft$e included angle


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%ind t$e area of t$e triangle:

Trig Application

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