All categories

3 years ago

Which plane is closer to the base of the airport tower? Explain.

Mathematics

2 answers:

Soloha48 [4]3 years ago

8 0

B because the altitude is 8000 and A is 20,000 so A will fly over the airport and B will not

Annette [7]3 years ago

7 0

Answer:

Plane B is closer.

Step-by-step explanation:

Plane B is closer.

The distance for Plane A is 7.9 km.

The distance for Plane B is 7.4 km.

Step-by-step explanation:

To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...

-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km

-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km

The Pythagorean theorem can be used to find the distance from each plane to the tower:

-- distance = √((ground distance)² + (height)²)

-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km

-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km

The distance for Plane B is shorter, so Plane B is closer to the tower.

You might be interested in

Alexa has some dimes and some quarters. She has a minimum of 28 coins worth a maximum of $5.05 combined. If Alexa has 17 quarter

vazorg [7]

Answer:

if she has 17 quarters, the money of it would be $4.25.

$5.05 - 4.25$ = $0.80

=> 8 dimes

=> she have 17 quarters and 8 dimes

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Identify the values of variables x, y, and z based on the image given of the angles formed by a transversal and parallel lines

Paul [167]

Answer:

$x=62\\y=94\\z=94$

Step-by-step explanation:

Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.

Alternate Interior Angles Theorem

Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).

Alternate Exterior Angles Theorem

Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).

Same-side Interior Angles Theorem

Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).

Same-side Exterior Angles Theorem

Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).

Corresponding Angles Theorem

Two angles on a figure that correspond are congruent (=).

Now, let's look at the figure and apply these theorems.

$z$ and $86$ are same-side exterior angles, meaning they're supplementary:

$z+86=180$

Subtract $86$ from both sides of the equation:

$z=94$

Now that we know our $z$ value, let's recognize that $z$ ( $94$ )corresponds to $x+32$ , meaning they're congruent:

$x+32=94$

Subtract $32$ from both sides of the equation:

$x=62$

Let's find the value of the angle:

$(62)+32$

Add:

$94$

Since the corresponding angles are of the same value, they're congruent, proving our $x$ & $z$ values correct.

Since $y$ and the angle represented by the expression $x+32$ ( $94$ °) are alternate-interior angles, they are congruent:

$y=94$

5 0

4 years ago

PLSSS HELLLPPP MEE!!

MArishka [77]

Answer:

the answer is 8

3 0

3 years ago

Solve by elimination: x-2y= -7 ; 4x+2y= 22

svp [43]

Apply the elimination method to the 2y terms since they are opposites & therefore can eliminate. Combine the rest of the terms, vertically.

x-2y= -7
4x+2y= 22
5x = 15
Divide both sides by 5.
x=3

Plug the x value to one of the original equations and solve for y.

4x + 2y = 22
4(3) + 2y = 22
12 + 2y = 22
Subtract by 12 on both sides.
2y = 10
Divide by 2 on both sides.
y = 5

Therefore, the solution to the system of equations shown is:

x=3 y=5

or

as an ordered pair (3, 5).

6 0

4 years ago

Someone please help me

Mashcka [7]

To solve this, we would need to know some trigonometry.
To solve this, the equation would be this:
tan 37= x/3.
If we solve this, line segment DE would be approximately 2.26.
Hope this helps.

4 0

3 years ago