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Mathematics 23 Online
OpenStudy (anonymous):

In △PQR, find the measure of ∡P. (will give medal)

OpenStudy (anonymous):

30.4° 35.9° 59.6° 54.1°

Directrix (directrix):

I think you'll have to use right triangle trig. Attached is a ratio refresher chart.

Directrix (directrix):

In this instance, sin P = QR/PR = 33.8/57.6

Directrix (directrix):

sin P = 33.8/57.6 @luka1998 Do you have a scientific calculator to crank out the the value of angle P from the equation?

OpenStudy (anonymous):

yes i think the answer will be 0.5868

Directrix (directrix):

.5868 = 33.8/57.6 but there's more work to do. .5868 is not the angle P. .5868 is the sine of the angle P

OpenStudy (anonymous):

then how to solve it ?? can u plz explain it to me ???

Directrix (directrix):

Are you using a calculator? If not, we will use one that is online.

OpenStudy (anonymous):

i'm using a calculator

Directrix (directrix):

Do you have an "arc" button on it, or an "inv" button on it?

Directrix (directrix):

On my calculator, I punch 33.8/57.6 = INV Sine and the answer pops up. Be sure you have your calculator set for degrees.

OpenStudy (anonymous):

nope i dont have the button

Directrix (directrix):

Just a second.

Directrix (directrix):

Click on this line and look at the way the problem was entered and scroll down for the answer. http://www.wolframalpha.com/input/?i=arc+sin+%2833.8%2F57.6%29+%3D

Directrix (directrix):

You can also use the Google calculator.

OpenStudy (anonymous):

oh so the answer will be 35.93

Directrix (directrix):

Yes. 35.9° https://www.google.com/#q=2%2B3+%3D

OpenStudy (anonymous):

thx

Directrix (directrix):

You are welcome.

OpenStudy (anonymous):

can u help me in other question ??

OpenStudy (anonymous):

Use △DEF, shown below, to answer the question that follows.

OpenStudy (anonymous):

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

OpenStudy (anonymous):

@Directrix can u help me ?

Directrix (directrix):

Which trig function will we need to use on this problem?

OpenStudy (anonymous):

@Directrix is it tan ?

Directrix (directrix):

The tangent ratio does not involve the hypotenuse. It is the ratio of the opposite leg over the adjacent leg. Tan (49) would give EF / x and we would have an equation with two unknowns. So, try another of the trig functions, one which is the ratio of the adjacent leg to the hypotenuse.

OpenStudy (anonymous):

cos

Directrix (directrix):

Yes, so cos 49 would be equal to ?/55

OpenStudy (anonymous):

should i use the Pythagorean therom to find the hyp

Directrix (directrix):

cos (49 degrees) = x/55

OpenStudy (anonymous):

will the answer be 83.8?

Directrix (directrix):

The Pythagorean Theorem will not help. You know only one side of the right triangle. 55^2 = (EF)^2 + x ^2 -->One equation with two variables. Dead end.

Directrix (directrix):

>>will the answer be 83.8? That could not be correct because in a right triangle, the hypotenuse is the longest side. The hypotenuse is 55. A leg of the same triangle cannot be 83.8; that is larger than the hypotenuse.

OpenStudy (anonymous):

oh |dw:1383995168401:dw|

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