The Colonel spots a campfire at a bearing N 71 ∘ E from his current position. Sarge, who is positioned 235 feet due east of the Colonel reckons the bearing to the fire to be N 45 ∘ W from his current position. Determine the distance from the campfire to each man, rounded to the nearest foot.

Answers

Answer 1

Answer:

[tex]X=85.123m[/tex]

[tex]Y=184.88m[/tex]

Step-by-step explanation:

From the question we are told that:

Campfire Bearing from Colonel[tex]x=N 71 \textdegree E[/tex]

Distance b/w Colonel and Sarge [tex]Z=235feet[/tex]

Campfire Bearing from Sarge [tex]y=N 45 \textdegree E[/tex]  

Generally the angles x' and y' are solved

[tex]x'=90 \textdegree-71 \textdegree[/tex]

[tex]x'=19 \textdegree[/tex]

[tex]y'=90 \textdegree-45 \textdegree[/tex]

[tex]y'=45 \textdegree[/tex]

Generally the angle z' is  solved

Sum of angles of a triangle is 180

Therefore

[tex]z'=180 \textdegree-(19+45) \textdegree[/tex]

[tex]z'=116 \textdegree[/tex]

Generally the sine rule equation for for all distances is mathematically given by

[tex]\frac{Z}{sinz'}=\frac{X}{sinx'}=\frac{Y}{siny}[/tex]

Generally the the distance b/w the Colonel and the campfire X is mathematically given as

[tex]\frac{235}{sin116}=\frac{X}{sinx'}[/tex]

[tex]\frac{235}{sin116}=\frac{X}{sin19}[/tex]

[tex]X=85.123m[/tex]

Generally the the distance b/w Sarge and the campfire X is mathematically given as

[tex]\frac{235}{sin116}=\frac{Y}{siny}[/tex]

[tex]\frac{235}{sin116}=\frac{Y}{sin45}[/tex]

[tex]Y=184.88m[/tex]


Related Questions

Please help!!
I’m so confused
And please don’t use the link joke

Answers

Answer:

15u + 141 = 420

Step-by-step explanation:

So basically we are modelling how much the coach is spending. Each player is given a uniform and a basketball

We can use 'u' as the cost of a single uniform

We can use 'b' as the cost of a single basketball

Since there is 15 players we must give a ball and uniform to each so

15u + 15b = 420

The problem gives us the cost of each basketball: 9.40

so now 15u + 15(9.4) = 420

15u + 141 = 420

I have to solve for X in this question. Im not sure on how to do it.

Answers

Answer:

21.75

Step-by-step explanation:

The angle is tangent chord angle.

The tangent chord angle is half the measure the intercepted arc.

The intercepted arc by this angle is:

360° - (74° + 86°) = 200°

Find the value of x:

4x + 13 = 1/2*2004x + 13 = 1004x = 100 - 134x = 87x = 87/4x = 21.75

if man salary increase 10 percent after and now become rs 3600 what was his old salary?​

Answers

Answer:

rs 3240

Step-by-step explanation:

10% of 3600 = 360

3600 - 360 = 3240

Help help help help please!!!!

Answers

Answer:

74 feet

Step-by-step explanation:

24^2 + 70^2 = 74^2

Pythagorean Theorem

Which of these equations has no solutions?
a
2(x - 7) = 2x - 14

3(2x + 1) = 6x + 1

15x - 30 = 0

2x + 1 = 5x - 3

Answers

Answer:

2(x - 7) = 2x - 14

Step-by-step explanation:

→ Expand out equation

2x - 14 = 2x - 14

→ Minus 2x from both sides

-14 = -14

How to find 7/10 distance of something

Answers

Answer:

multiply the distance by 0.7

Answer:

Divide it by 10, multiply it by 7

Example:

Find 7/10ths of 20

20/10 = 2

2x7=14

Tracy is filling the box with unit cubes that are 1 inch on each side. She will fill the box with cubes without any gaps or overlaps. What is the volume of the box?

Answers

Answer:

[tex]Volume = 48in^3[/tex]

Step-by-step explanation:

Given

See attachment for box

Required

The volume of the box

The number of boxes in each direction represents the length of that dimension.

So, from the attachment

[tex]Width = 4in[/tex]

[tex]Length = 3in[/tex]

[tex]Height = 4in[/tex]

The volume is:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 4in * 3in * 4in[/tex]

[tex]Volume = 48in^3[/tex]

Find the term indicated in the expansion.
(x + 2y)*; fourth term


Helppppppp

Answers

Answer:

wish that will help u

which one is it???????

Answers

Answer: a) sin θ
Explanation: Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent

Long division of 452.7 ÷ 15

help me!!​

Answers

Answer:

30.18

Step-by-step explanation:

Answer:

30.18

Step-by-step explanation:

      030.18

15 | 452.7

  - 45

        02

           0

          27

        - 15

            120

          - 120

                0

Can someone please help me? <3

Answers

Answer:

D

Step-by-step explanation:

Slope of horizontal line is always 0 while slope of vertical line is undefined

Find the irrational number. Links or spam will result in reporting.

Answers

It’s the negative pi

Select the ordered pair that is a solution to the function. (A point on the line.)

A) (-2,-1)

B) (-1,0)

C) (1,0)

D) (2,-3)

Answers

Answer:

The answer is c) (1,0)

Step-by-step explanation:


Find the slope of the line.
(0,2) (2,-2)
Will give brainiest if correct

Answers

-4/2 or -2/1 if you have to simplify it might even be just -2 i dont know how your website works

Answer: -2

The slope is 4/2 and you simplify it inti 2. And since the line is going down, it’s a negative slope, so the answer will be -2.


2. Describe an experiment to show that water is an oxide of hydrogen ​

Answers

Answer:

2H + O -------> H2O

and hydrogen react with oxygen so it is oxide of hydrogen

like iron react with Oxygen and give

iron oxide

An experiment consists of randomly drawing a cube from a bag containing three red and
two blue cubes.
1. What is the sample space of this experiment?
2. List the probability of each outcome in the sample space.
3. Is the probability of selecting a red cube equal to the probability of selecting a blue
cube? Explain
4. What color cube would you need to add to the bag to make the outcomes equally
likely?

Answers

Answer:

1. Sample space: red or blue

2. Red: 3/5,   Blue 2/5

3. 60% probability of selecting a red, 40 percent probability

4. 1 more blue

Step-by-step explanation:

3. 3/5 x 2 = 6/10 --> 60%

4. 5 total, 3 red, 2 blue (+ 1 blue) = 6 total, 3 red, 3 blue

State if the triangles in each pair are similar. If so, state how you know they are similar
And complete the similarity statement.


Answers

Answer:

[tex]\triangle LKJ \sim \triangle LHG[/tex]

Step-by-step explanation:

Let suppose that JK and GH are parallel to each other and the length of JK is a multiple of the length of GH ([tex]JK = m\cdot GH[/tex]), then we know that [tex]\angle H \cong \angle J[/tex] and [tex]\angle G \cong \angle K[/tex] by alternate internal angles and [tex]\angle L_{1} \cong \angle L_{2}[/tex] by opposite angles, then [tex]KL = m\cdot GL[/tex] and [tex]HL = m\cdot JL[/tex]. Lastly, we conclude that [tex]\triangle LKJ \sim \triangle LHG[/tex]

Suppose a 250-brick set of Braille Bricks includes 50 pieces of each of five colors: red, yellow, green, blue and orange. If Kevin chooses one piece of lego at random, what is the probability that he chooses a red or a yellow piece? Write your answer in simplest fraction form.

Answers

Answer: 2/5

Step-by-step explanation:

Number of red bricks = 50

Number of yellow bricks = 50

Number of green bricks = 50

Number of blue bricks = 50

Number of orange bricks = 50

Total number of bricks = 250

The probability of choosing a red piece is 50/250 = 1/5. Also, the probability of choosing a yellow piece is also 1/5.

Therefore, the probability that he chooses a red or a yellow piece will be:

= P(red) + P(yellow)

= 1/5 + 1/5

= 2/5

(Will Give Brainliest) What is the slope of the line? −4x + 7 = 2y − 3

Answers

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4x + 7 = 2y - 3

7 = 2y - 3 + 4x

0 = 2y - 3 + 4x - 7

-2y = -3 + 4x - 7

-2y = 4x - 10

y = -2x + 5

As the slope of the line is equal to the value of x, the slope of this line is -2

A aystem of equations is shown. 4x+2y=10 2x-2y=8 what is the value of x in the solution to the system ?

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

please mark this answer as brainlest

Can someone help me with this question please

Answers

Answer:

the answer for both of them is x=4/5y-4

Step-by-step explanation:

Step 1: Add 8y to both sides.

10x−8y+8y=−40+8y

10x=8y−40

Step 2: Divide both sides by 10.

10x/10=8y−40/10

x=4/5y−4

Answer:

x=4/5y−4

hope this helped :)

3. circumference of a circle with a diameter of 15 inches I

Answers

Answer:

47.13 (rounded) or 47.1 (if pi is rounded)

Step-by-step explanation: diameter time pi or 3.14 = Circumference

Can some one help
The last two are
H and J

Answers

Answer:

the correct answer for this problem is J

PLEASE HELP!

Samantha and her children went into a grocery store and she bought $7 worth of bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She bought a total of 15 bananas and peaches altogether. Determine the number of bananas and the number of peaches that Samantha bought.

Answers

So the banana cost $0.40 and the peach $0.50

To make exact amount of $7 that she spend.

0.50 x10= $5 so she bought 10 peaches
0.40 x 5= $2 and she bought 5 bananas

5+2= $7
10+5= 15 all together

Q3: What is the measure of angle VWR?

Answers

Answer:

146o

Step-by-step explanation:

if you add 90 and 34 it equal 124 if you subtract that by 180 is leaves you 56 so 90+ 56 eaquals 146 degree and to make sure if you add 34 to that it equals 180 and because a whole cirle is 360 ! btw i am in 6th grade lol

i'll mark you brainliest for the answer<3

Answers

The answer is -3,9. Hope that helps.

Brainliest goes to whoever answers/explains this correctly

Answers

Answer: (-5,0)  will be your answer hope this helps

Step-by-step explanation:

Find the area of the following figure below (btw the number on the left is 3)

Answers

Answer:

21

Step-by-step explanation:

Area of a rectangle is base x height so 7 x 3 so 21

Question:

Find the area of the following figure below (btw the number on the left is 3)

Answer:

21

Step-by-step explanation:

Formal:

L x W = Area

^ ^ ^        ^

3 x 7 = 21

On a school trip to a theme park, four busses each carry 105 students. 35% of the students are bringing their own lunch. 3/7 of the students are buying lunch when they get to the theme park. The teachers are worried that some students have not made plans for lunch. Find how many students have not made plans for lunch.

Answers

Answer:

We have a lunch pack for her lunch

A triangular prism has a valine of 8460 in if the height of the prism is 9 in

Answers

Answer

Work:
Volume is total = 8460 in3
Width 40in
Height 9in
Length?


Formula v/(w x h)

40 x 9 = 360

8460 / 360 = 24in

Length is 23.5 in
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