You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

Answer 1

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:

[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

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:

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

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.

Answers

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

The measure of the angles are:

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{\angle HFJ = 34}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

The given parameters are:

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So, we have:

[tex]\mathbf{GFJ = 180 - 124}[/tex]

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[tex]\mathbf{\angle FGH = 124}[/tex]

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[tex]\mathbf{\angle HFJ = 34}[/tex]

(d) Angle ∠HKJ

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So, we have:

[tex]\mathbf{\angle HKJ =180 - 79}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

Read more about angles in a parallelogram at:

https://brainly.com/question/9680084

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Answer:

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Step-by-step explanation:

Is this what you are looking for ‍♀️9+10=21

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

URGENT! The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 20 ​° more than the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)
decorative image

Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Hope this helps!

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Answers

Answer:

option c

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Answer:

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Step-by-step explanation:

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