Mei Mei spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17 to the plane at point A. At some later time, she measures an angle of elevation of 36 to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer 1

The distance between points A and B is 11785.2 ft.

What is algebraic expression?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is that the plane maintains a constant altitude of 6350 feet. Mei Mei initially measures an angle of elevation of 17° to the plane at point A. At some later time, she measures an angle of elevation of 36° to the plane at point B.

We can write -

tan (17°) = 6350/AC

tan (36°) = 6350/BC

Now, we can write -

AC = 6350/tan (17°) ... { 1 }

AC = 20483.9 ft

BC = 6350/tan (36°) ... { 2 }

BC = 8698.7 ft

We can write -

AB = AC - BC ... { 3 }

AB = 20483.9 - 8698.7

AB = 11785.2 ft

Therefore, the distance between points A and B is 11785.2 ft.

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Mei Mei Spots An Airplane On Radar That Is Currently Approaching In A Straight Line, And That Will Fly

Related Questions

Delaney pays her internet provider a monthly fee of $14.95 plus $5.75 for each gigabyte of data she stores in the cloud. If Delaney paid $60.95 for the month of January, how many gigabytes of data did she use that month?

Answers

Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

At Trendy Tailor Boutique's annual end-of-season sale, every necktie in the shop gets marked down. Will purchased 7 neckties during the sale. Each necktie cost $8 less than its full price. He paid a total of $147

Answers

The equation that is used to find the cost of each necktie is (f - 8) = 21 and the cost is $ 29.

What is the equation:

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

Coefficients, variables, and, constants terms, and the equal to sign are the parts of an equation. Here the variable will represent the unknown quantity or unknown number.

Here we have

Will purchased 7 neckties during the sale.

He paid a total of $147.

The amount paid for 1 necktie = 147/7 = $ 21

Each necktie cost $8 less than its full price.

Here 'f' be the total price of the necktie

The the amount paid by Will = (f - 8)

Since each necktie costs $ 21

=> (f - 8) = 21

=> f = $ 29

Therefore,

The equation that is used to find the cost of each necktie is (f - 8) = 21 and the cost is $ 29.

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Complete Question:

When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? Never When the correlation coefficient is close to -1 or +1. When the correlation coefficient is equal to -1 or +1. When the scatterplot of the data has little vertical variation.

Answers

Never. Correlation coefficients are used to measure the strength of a linear relationship between two variables, not to prove cause and effect. To determine causation, it is necessary to conduct an experiment or study in which the independent variable is manipulated and the dependent variable is measured.

Correlation coefficients are used to measure the strength of a linear relationship between two variables. They can measure the degree to which variables move together, but they cannot be used to prove cause and effect. To determine causation, it is necessary to perform an experiment or study in which one variable is manipulated and the other is measured. This allows researchers to control for confounding variables and to determine if the manipulation of the independent variable had a direct effect on the dependent variable. Therefore, correlation coefficients cannot be used to support a claim of cause and effect.

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∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?

Answers

A 90° rotation around the origin characterised the transition.

What is the transformational rule?

A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.

What transformation does the rule x y → − x − y?

(x, y)(x, y) is the formula for a reflection over the x-axis.

Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.

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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.

Step-by-step explanation: Took the test, no thanks neeeded :)

Please help me with this.

Answers

Using angle relationship as reasons, the missing angles are:

1. m∠a = 108°

2. m∠b = 43°

3. m∠c = 114°

4. m∠d = 101°

5. m∠e = 82°

m∠f = 82°

6. m∠g = 67°

m∠h = 113°

7. m∠i = 127°

m∠j = 53°

8. m∠k = 156°

m∠l = 24°

9. m∠m = 72°

10. m∠n = 86°

11. m∠p = 25°

12. m∠q = m∠r = 61°

How to Use Angle Relationship to find the Measure of Missing Angles?

The angle relationship that exist between the angles in question will determine how to solve for the missing angle measure in a figure. Some of them are:

corresponding angles which are equalalternate exterior or interior angles, which are congruent, etc.

1. m∠a = 108°,

Reason: alternate interior angles are congruent.

2. m∠b = 43°,

reason: corresponding angles are congruent.

3. m∠c = 114°,

reason: corresponding angles are congruent.

4. m∠d = 180 - 79

m∠d = 101°

Reason: same-side interior angles theorem (angle relationship)

5. m∠e = 82°,

reason: alternate interior angles are congruent.

m∠f = 82°

Reason: vertical angles are congruent.

6. m∠g = 67°,

Reason: corresponding angles are congruent.

m∠h = 180 - 67 = 113°,

reason: same-side interior angles are supplementary.

7. m∠i = 127°

reason: corresponding angles are congruent.

m∠j = 180 - 127 = 53°

reason: linear pair angles are supplementary or have a sum of 180 degrees.

8. m∠k = 156°

reason: supplementary angles

m∠l = 24°

reason: alternate exterior angles are congruent

9. m∠m = 72°

reason: alternate exterior angles are congruent

10. m∠n = 180 - 94 = 86°

reason: supplementary angles

11. m∠p = 180 - 155 = 25°

reason: supplementary angles

12. m∠q = m∠r = 180 - 119 = 61°

reason: supplementary angles

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Write an equation that describes the relationship between the number of square yards (x) of ground to be covered and the number of scoops (y) of bean seed needed. Your equation should be in the form y=kx.

The equation is:

Answers

Since we want the equation in the form y = kx, we need to find the value of k that will make this equation fellow to the bone we just wrote.

We can rewrite the equation as

y = ( m/ x) x b

Now, we can see that if we set k = m/ x, the equation will be in the form y = kx.

So, the equation that describes the relationship between the number of square yards( x) of ground to be covered and the number of scoops( y) of bean seed demanded is y = kx

where k = m/ x, and m and b are constants that depend on the specific situation.

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