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Mathematics 19 Online
OpenStudy (anonymous):

A ladder 12 feet long leans against a tree trunk. The angle from the ground to the ladder is 36°. How far is the base of the ladder from the base of the tree?

terenzreignz (terenzreignz):

@Red_Stevens Trig stuff huh... It helps if you draw a diagram :) |dw:1373604121773:dw|

terenzreignz (terenzreignz):

|dw:1373604140050:dw|

terenzreignz (terenzreignz):

So... let's put the known values up... The ladder is 12 feet long so...|dw:1373604190184:dw|

OpenStudy (anonymous):

So what do you do from here? |dw:1373604211678:dw|

terenzreignz (terenzreignz):

Oh noes D: The angle \(36^o\) is made by the |dw:1373604283298:dw| to the ground, here:|dw:1373604302013:dw| So the angle goes here:|dw:1373604320409:dw|

OpenStudy (anonymous):

Oh, so what do you do from there?

terenzreignz (terenzreignz):

You know the trigonometric stuff... sine, cosine, etc?

OpenStudy (anonymous):

Not really, I'm jumping up a grade and I'm trying to get caught up with some stuff. I know the basics though.

terenzreignz (terenzreignz):

You know sines, cosines... as in SOH-CAH-TOA \[\Large \sin\theta = \frac{opposite}{hypotenuse}\]\[\Large \cos\theta = \frac{adjacent}{hypotenuse}\]\[\Large \tan\theta =\frac{opposite}{adjacent}\]

OpenStudy (anonymous):

Okay, so which one would I choose for this equation.

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