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Mathematics 18 Online
OpenStudy (anonymous):

The legs of a right triangle measuring 5 inches and 7 units. If theta is the angle between the 5-inch leg and the hypotenuse, cos theta = ..what?

OpenStudy (anonymous):

Availdable answers are .71 .81 .07 and .58

hartnn (hartnn):

|dw:1348822655614:dw| do u know how to find cos theta ?

hartnn (hartnn):

first find hypotenuse using pythagoras theorem, can u?

OpenStudy (jiteshmeghwal9):

\[Cos \space \theta=\frac{base}{hypotenuse}\]

OpenStudy (anonymous):

I know the pythagorean theorem yes

hartnn (hartnn):

so hypotenuse =?

OpenStudy (anonymous):

7 squared plus 5 squared =74 and the square root of that is about 8.6

OpenStudy (anonymous):

Correct?

hartnn (hartnn):

now cos theta is the ratio of adjacent side to hypotenuse, yes that is correct

hartnn (hartnn):

which side is adjacent side?

OpenStudy (anonymous):

Next to the angle right? 8.6/5?

hartnn (hartnn):

its adjacent side/ hypotenuse so 5/8.6 ok?

OpenStudy (anonymous):

OH okay 5/8.6 so it is .58?

hartnn (hartnn):

yup thats correct and \(\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile\)

OpenStudy (anonymous):

TYVM! and I am sure to be here often! :D

hartnn (hartnn):

welcome ^_^

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