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Mathematics 16 Online
OpenStudy (anonymous):

The measures of the sides of ΔPQR are given in the diagram. What is m∠P, correct to two decimal places?

OpenStudy (anonymous):

@dpaInc

OpenStudy (anonymous):

where's the diagram?

OpenStudy (anonymous):

it doesnt have one

OpenStudy (anonymous):

or sorry it does ill draw it

OpenStudy (anonymous):

|dw:1400538206998:dw| are there any other info. on the diagram? for example, length of sides, or measure of other angles? draw in those measurements and we can get started...

OpenStudy (anonymous):

|dw:1400459001732:dw|

OpenStudy (anonymous):

sorry it took so long, the internet when down here

OpenStudy (anonymous):

@jim_thompson5910 @Luigi0210

OpenStudy (anonymous):

Using trigonometry you can solve for the angle since you have the sides

OpenStudy (anonymous):

so since it is obvious which sides is larger and the hypotenuse we will use the SINE function to solve for the missing angle

OpenStudy (anonymous):

\[sine \theta = Opposite/Hypotenuse\]

OpenStudy (anonymous):

Plug in for what you know and solve for what you do not know and remember that you can find the angles of a triangle knowing the sides of triangle

OpenStudy (anonymous):

the hypotenuse is 4.25 and the opposite is 4.71?

OpenStudy (anonymous):

No the hypotenuse is the largest side of the triangle and the opposite means opposite to the angle which you are trying to find so that is correct it is 4.71 units

OpenStudy (anonymous):

the hypotenuse is 5.79

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

0.72 is that i got

OpenStudy (anonymous):

The angle is ? and sine is a constant function so to solve for just ? we need to take the inverse of Sine to get rid of it on the left and place it on the right

OpenStudy (anonymous):

\[Sin (?)=O/H\]

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