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Mathematics 16 Online
OpenStudy (minthia):

What is the value of x to the nearest degree?

OpenStudy (minthia):

OpenStudy (freckles):

Maybe it is me but I can't open that.

OpenStudy (minthia):

Its a right triangle with a 10 on top and 6 on the side and x on the inside

OpenStudy (freckles):

|dw:1432697785225:dw| ?

OpenStudy (minthia):

Exactly but the x is on the bottom right

OpenStudy (freckles):

|dw:1432697851122:dw|

OpenStudy (freckles):

well you can use the sides that are already given plug a trig ratio that relates the given with the need to be found

OpenStudy (freckles):

see the side touching the angle that isn't the hyp that is called the adjacent side see the side that isn't touching the angle at all that is called the opposite side

OpenStudy (freckles):

recall soh cah toa

OpenStudy (freckles):

tan is opp/adj

OpenStudy (freckles):

once you setup the equation you will just need to take arctan( ) of both sides

OpenStudy (minthia):

So would the equation be 10 x 6?

OpenStudy (freckles):

thats an expression not an equation tan(x)=?

OpenStudy (freckles):

can you identify the measurement for both the opposite side and the adjacent side w.r.t to the angle x

OpenStudy (anonymous):

Tan(x) = opp/adj = 10/6 , so x = arctg(5/3) *arctg is the tan^-1 function in your calculator

OpenStudy (minthia):

ok I am getting 1.66 for both 10/6 5/3 am I right so far

OpenStudy (freckles):

yes but you still need to do arctan(5/3) or arctan(10/6) or arctan(1.6666)

OpenStudy (minthia):

58.93 is the answer thanks to all that helped(freckles)

OpenStudy (anonymous):

on your calculator, find tan^-1 and press that and (10/6) and you will get 59 degrees

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