1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
3 years ago
7

4) The path of a satellite orbiting the earth causes it to pass directly over two

Mathematics
1 answer:
Naily [24]3 years ago
6 0

Answers:

  • Satellite is approximately <u>2446.43 km</u> from station A.
  • Satellite is approximately <u>2441.61 km</u> 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 km
  • AD = x
  • CD = h

Focusing 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.

You might be interested in
How to write 5/10 as a decimal
prisoha [69]

You write it as 0.5. Just divide both numbers

5 0
3 years ago
Read 2 more answers
How many times does 452 go into 95
andrezito [222]
0 but 95 goes into 452 around 4 times if you want a decimal it's 4.757
7 0
3 years ago
Math help pls, will reward lol, thanks
Ahat [919]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x - 2) represents a horizontal translation of f(x) shifted 2 units to the right, thus

The marked points on f(x) → f(x - 2) are

(0, 0 ) → (2, 0 )

(2, 4 ) → (4, 4 )

(3, 9 ) → (5, 9 )

8 0
3 years ago
Solve for x:<br> x³=23<br><br> Choose all that apply:<br><br> ∛23<br><br> 3<br><br> 1<br><br> 23/3
rosijanka [135]
Your answer is A. I have attached a photo of an explanation

6 0
2 years ago
Read 2 more answers
- The cost to rent a video game for 3 days was $10. It costs the same amount each day.
Roman55 [17]

Answer:

its the quotient of

Step-by-step explanation:

10/3= 3.333 and so on

3 0
3 years ago
Read 2 more answers
Other questions:
  • 0 = x^3-8<br> Help me with this problem
    6·1 answer
  • Music :<br> An online music store sells songs for $0.90 each.
    13·2 answers
  • What are the center and radius of the circle defined by the equation ?
    13·1 answer
  • Solve x/12+1/3=5/6 please help me resolve
    7·1 answer
  • What’s the answer?????
    8·2 answers
  • Which one doesn’t belong?
    6·1 answer
  • m and m's are arranged in an array that has 394 columns and 9 rows. How many total m and m's are in the array? do i have to divi
    11·1 answer
  • (9x−4)−(2x−7) simplified
    12·2 answers
  • PLS HELP I NEED THE CORRECT ANSWER FOR THIS
    11·1 answer
  • Systems of equations by substitution
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!