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Degger [83]
3 years ago
11

Find sin Ɵ if cos Ɵ= 1/2 and 0°≤ Ɵ<90° Someone explain this to me please! ;-;

Mathematics
1 answer:
KIM [24]3 years ago
7 0
I got you covered. There are two ways to write Θ: degrees [°] and radians [expressed as "π"]. So, in this case cos π/3 = ½ [radian measure], or cos 60° = ½ [degree measure]. The reason being is because to convert from degrees to radians, use this formula: [degree measure] π/180; if you were to convert from radians to degrees, you'd do this vice versa: [radian measure] 180/π. So basically, the unit you're trying to convert to, is the one that goes in your numerator.
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You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is locat
elixir [45]

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

\to m=\frac{y_2-y_1}{x_2-x_1}\\

points:  (0,0) and (194,-201)

\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03

equation of the line:

\to y= mx+c\\\\\to y= -1.03\ x+c

when the slope is perpendicular= -\frac{1}{m}

                                                     = - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97

perpendicular equation:

\to y-(-40)=0.97  \times (x-56) \\\\\to y+40=0.97  \times (x-56) \\\\

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181

\to time =\frac{distance }{speed}

= \frac{67.7021181}{800}\\\\= 0.0846276476

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Answer:

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Step-by-step explanation:

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