4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
Related Questions
48-7)x(56+19 need help with dat
Answers
Answer:
3075 should be the answer.
Step-by-step explanation:
48-7)x(56+19
(48 - 7) x (56 + 19)
41 x 75
3075
I need help with this equation if ya help would be greatly appreciated
Answers
Answer:
-2
Step-by-step explanation:
2, 1, 0, -1
If the pattern continues it will lead to the next number being - 2
Answer:
The answer is
[tex]y = - \frac{1}{4} x[/tex]
Step-by-step explanation:
[tex]y = - \frac{1}{4} \times - 8 = 2 \\ y = - \frac{1}{4} \times - 4 = 1 \\ y = - \frac{1}{4} \times 0 = 0 \\ y = - \frac{1}{4} \times 4 = - 1[/tex]
A line passes through the point (-8, – 4) and has a slope of 5/4 write an equation in point slope form
Answers
y=5/4x+6 is in slope intercept form I forgot how to do point slope
Elle was asked to find the missing measure of an interior angle of a heptagon. A heptagon has angles x, 116 degrees, 115 degrees, 155 degrees, 138 degrees, 95 degrees, and 150 degrees. Elle’s work is shown below. Steps Elle’s Work Step 1 (n minus 2) 180 degrees = (7 minus 2) 180 degrees = 900 degrees Step 2 900 minus (116 + 115 + 155 + 138 + 150) Step 3 x = 226 degrees Where, if at all, did Elle first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Elle did not make a mistake.
Answers
Answer:
Step 2
Step-by-step explanation:
Answer:
Should be step 2!
Step-by-step explanation:
need urgent help pls
Answers
Please help me guys I will give the first person who answer a Brilliant
Answers
Answer:
2 3/4+(2 3/4 / 2)=t
Step-by-step explanation:
IM sure this is right
Plzz help 15 points
Which of the following graphs show
f(x) =
x + 1, when x < 1
4, when ≥ 1
Answers
Answer:
I think its C if I'm wrong, sorrryyy
Millie has a box of crayons. 30 of the crayons are red, 14 are green, and 16 are
blue. Millie randomly selects a crayon from the box, records the color and then
replaces the crayon in the box. If she selects a crayon 30 times, how many
times do you predict she will select a blue crayon?
6
07
0 10
08
Answers
Answer: i’m really not sure about this one but i think eight
Step-by-step explanation: if you calculate the probability of drawing a blue crayon you should get 16/60. if you’re drawing thirty times then multiply 16/60 by thirty and you get eight. sorry if this is incorrect hope this helped :D
Leyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. How much money did Leyan spend on tomatoes?
Answers
Answer: See explanation
Step-by-step explanation:
I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12
Let the amount spent on tomatoes be x.
The information given in the question can then be used to form an equation as thus:
Apples + Peaches + Tomatoes = $9.63
(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63
$3.0888 + $1.344 + x = $9.63
x = $9.63 - ($3.0888 + $1.344)
x = $9.63 - $4.4328
x = $5.1972
The amount spent on tomatoes will be $5.1972
Answer:
The answer is 4.2 I did this question already
Step-by-step explanation: You multiply 2 3/4 and 1.32 and then add that to the product of the 1 1/2 peaches for 1.20 per pound, then subtract the answer from 9.63 to get the solution for x.
Help ASAP
1. What is the volume of the cylinder shown above, rounded to the nearest hundredths?
2. What is the volume of the cylinder shown above if the radius is doubled, rounded to the nearest hundredths?
3. What is the volume of the cylinder shown above if the height is cut in half, rounded to the nearest hundredths?
Answers
Answer:
1) 169.7
2) 678.6
3) 84.9
Hope it helped!!!
Please Help :D
助けてください
Answers
Answer:
1. false
2. true
3. false
4. false
Step-by-step explanation:
1. 128 is not equal to 125
2. 119.7 = 119.7
3. 13.2 is not equal to 1.32
4. 5.88 is not equal to 12
a taxicab company charges $2.10 and $0.80 a mile. Sheila took a cab and paid a fare of $11.70.Which equation represents this situation with the correct number of miles?
Answers
Answer:
D 2.10+0.80m=11.70, 12 miles
Step-by-step explanation:
11.70-2.10=9.6
9.6/0.80=12
so there is 12 miles and only d has 12 miles
hope this helps have a blessed day
What is the name of the parent function for f(x)=2 x-1
Answers
Answer:
Linear Function
Step-by-step explanation:
Any equeation that comes in the form mx + b is a linear function
I urgently need help!!!!
Answers
Answer:
first one
Step-by-step explanation:
Answer:
the third option, C (6,0)
Step-by-step explanation
B is 3x, and 6y. Since C is still on the bottom of X, it doesn't have any number for y. Although, it is far to the right which gives it 6x.
Which fraction is equal to 0.5 7?
A. 19/30
B. 19/33
C. 26/45
D. 52/99
Answers
The correct answer for fraction equal to 0.57 is [tex]\dfrac{19}{33}[/tex] and [tex]\dfrac{26}{45}[/tex]. The correct 0ptions are C and B.
What is fraction?
A fraction is a numerical value that has both numerator and denominator.
Given Number:
A)
[tex]\dfrac{19}{30} = 0.63[/tex]
[tex]0.63[/tex] ≠ [tex]0.57[/tex]
B)
[tex]\dfrac{19}{33} = 0.5757[/tex]
[tex]0.57 = 0.57[/tex]
C)
[tex]\dfrac{26}{45} = 0.5777[/tex]
[tex]0.57 = 0.57[/tex]
D)
[tex]\dfrac{52}{99} = 0.52[/tex]
[tex]0.57[/tex] ≠ [tex]0.52[/tex]
The correct fractions are [tex]\dfrac{19}{33}[/tex] and [tex]\dfrac{26}{45}[/tex] .The correct options are C and B.
Learn more about fractions here:
https://brainly.com/question/29766013
#SPJ6
3. The point P(3,5) is rotated 90° clockwise
about the origin. What are the coordinates of
P'?
A. P'(-3,-5)
B. P’(5,-3)
C. P'(-5,3)
D. P'(5, 3)
Please :)
Answers
Answer:
New coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Step-by-step explanation:
When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(y, -x)
In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(y, -x)
P(3, 5) → P'(5, -3)
Therefore, coordinates of P' are: P'(5, -3)
Hence, option B i.e. P'(5,-3) is correct.
Which inequality is represented by this graph?
A. 0>x
B.x>0
C. 0>_x
D.x>_0
Answers
Answer:
B. X > 0
Step-by-step explanation:
The dot it at 0, but is not filled in, so that means that it is not equal to.
The arrow is pointing to terms greater than 0 which can be described as (X). Since X is greater than 0, and not equal to 0, we get B as our answer.
I WILL GIVE 10 POINTS IF YOU ANSWER CORRECTLY AND I WILL GIVE THE BRAINLIEST.
Answers
Answer:
D. 17 ft²
Step-by-step explanation:
Solve for 1/2 of the kite first. The formula for area of a triangle is 1/2 times base times height. The base is 6.8 because you add 5.2 and 1.6. The height is 2.5. Multiply 6.8 times 2.5 to get 17. 17 times 1/2 is 8.5. The other half also has the area of 8.5. Add 8.5 + 8.5 to get 17.
Hope it helps and is correct!
YALL HELP ME PLEASE ITS URGENT
Answers
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Radius - 7
height- 2
Answers
Answer: 87.9
Step-by-step explanation:
Since the formula is 2 x pi x radius x height, we plug the equation in.
If you use “3.14” for pi, it’s 2 x 3.14 x 7 x 2 = 87.9 (rounded to the nearest tenth)
2 x pi x 7 x 2 = 87.96 (88 rounded to the tenth)
Coupon A-14$ rebate on 77$ jacket
Coupon B- 15% off on a 77$ jacket
Answers
Needdddddd helpppppppp ASAP
Answers
Answer:
4th option, always increasing
Step-by-step explanation:
It’s always increasing because the graph is concave up
If you get it right/wrong, do let me know
+ 20 points Which inequality's solution is represented by the graph?
A)
- 2x + 6 < 52
Answers
Answer:
Inequality Form:
X > -23
Interval Form:
(-23, ∞)
Which angles are corresponding angles?
Check all that apply.
Answers
The corresponding angles are
2 and 6
3 and 7
5 and 3
and, 4 and 8
What are corresponding angles?
Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.
Or, when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
According to the given question.
We have a diagram, in which there are two parallel lines and one another line which is intersecting these two lines.
From the given diagram,
The pairs of angles 2 and 6, 1 and 5, 3 and 7, and 4 and 8 are occupying the same relative positions, upper right side, upper left side, lower left side, and lower right side respectively.
Therefore, we can say that angles
2 and 6
3 and 7
5 and 3
and, 4 and 8
are corresponding angles.
Find out more information about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Graphs are my weak spot pls help
Answers
70 points brainliest just please help me
Answers
Answer:
i cant see the numbers properly
Step-by-step explanation:
but if this gives you youre points , there you go
Write a linear equation to represent the line shown on the graph.
Answers
Answer:
x=1
Step-by-step explanation:
x=1
Answer:
Hello did have actual quiz it looks like i have the same quiz could yopu send that quiz to me thanks
Step-by-step explanation:
1. 30-70h=30
2. 300+70h=-30
3. 300-70h=-30
4. 300+70h=30
Answers
If you do the math 300 - 30 kilos to go is 270 kilos. 270 kilos divided by 70 kilos is about 3.85. So with the correct equation you can solve and find it true. 300 - 70(3.85) is roughly 30.
It takes 4 pounds of apples to make 6 cups of applesauce.
Select all the rates that are equvalent to the rate in the statement above.
Group of answer choices
5:7
10:15
6:9
1:2
14:21
8:10
Answers
Answer:
Step-by-step explanation:
4lbs of apples to 6 cups of apple sauce
we can write this as 2:3
the correct choices: 6:9 and 14:21
One month lashonda rented 7 movies and 9 video games for a total of $73 the next month she rented 5 movies and 3 video games for a total of $29 find the rental cost for each movie and each video game
Answers
Answer:
Solve a system of equations with two unknowns x and y
where x is the rental price for the movie and y is the rent for video games
7x + 9y = 73
5x + 3y = 29
Solving the result: x = $ 1.75, y = $ 6.75
Step-by-step explanation:
