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Gwar [14]
3 years ago
15

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

tion of 40 as it flies over a signal tower. Silvio knows the signal tower is 3 miles away, so he creates a trigonometric model to calculate the altitude of the plane relative to his own position.
Part A: Did Silvio choose the most appropriate function family for his model?
Part B: Which function family correctly models this situation?

Mathematics
1 answer:
Mrac [35]3 years ago
4 0
Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let h the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
tan \alpha = \frac{opposite.side}{adjacent.side}
tan(40)= \frac{h}{3}
h=3tan(40)
h=2.5miles

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is h=3tan(40).

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Answer pls in standard form too
romanna [79]

Answer:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Step-by-step explanation:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

7 0
2 years ago
Help asaaaaap please
katovenus [111]

Answer:

A. 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-5x - 1 ≤ -9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 1 to both sides:                    -5x ≤ -8
  2. Divide -5 on both sides:             x ≥ 8/5

Here we see that any value <em>x</em> greater than or equal to 1.6 would work as a solution.

Therefore, our answer is A. 1, as it doesn't work as a solution.

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to x6 – 9?
Cerrena [4.2K]

Answer:

12-9

Step-by-step explanation:

If 'x' value is 2

Then x*6 - 9

Then x*6 = 12

Then x*6-9 = 12-9

5 0
3 years ago
Keisha, Felipe, and Manuel sent a total of 100 text messages during the weekend. Keisha sent 8 more messages than Felipe. Manuel
Karo-lina-s [1.5K]

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

      Keisha = 8 + F = 8 + 23 = 31 messages.

      Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

7 0
3 years ago
Some one plz help me 25 points
qaws [65]
C, a²+b²=c²




why does this have to be 20 characters long
5 0
3 years ago
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