A plane at an altitude of 7000ft is flying in direction of an island. If they angel of depression is 21 from the plane to the island, what is the horizontal distance until the plane flies over the island?

Answers

Answer 1

Answer:

The horizontal distance until the plane flies over the island is 2687ft

Step-by-step explanation:

An illustrative diagram of the scenario is shown in the attachment below.

P is the position of the plane, I indicates the position of the island and G is point on the ground such that /PG/ is perpendicular to the ground.

From the diagram, the horizontal distance from the plane to the island is x.

x = /IG/

In the diagram, consider triangle PIG which is a right angle triangle.

/PI/ is the hypotenuse

/IG/ is the opposite

and /GP/ is the adjacent.

From the formula,

[tex]tan\theta = \frac{opposite}{adjacent}\\[/tex]

∴ [tex]tan\theta = \frac{/IG/}{/GP/}\\[/tex]

[tex]tan\theta = \frac{x}{/GP/}\\[/tex]

∴ [tex]x = /GP/ tan\theta[/tex]

From the diagram

/GP/ = 7000 ft and [tex]\theta = 21[/tex]

∴ [tex]x = 7000 \times tan21\\[/tex]

[tex]x = 2687.05 ft[/tex]

[tex]x[/tex] ≅ 2687 ft

Hence, the horizontal distance until the plane flies over the island is 2687ft

A Plane At An Altitude Of 7000ft Is Flying In Direction Of An Island. If They Angel Of Depression Is

Related Questions

A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.

Answers

Answer:

$5,362.50

Step-by-step explanation:

3.25% = 0.0325

165000 x 0.0325 = 5,362.50 dollars

Answer:

$5,362.50

Step-by-step explanation:

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Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
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Answer:

1 dollar

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Step-by-step explanation:

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Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.

Answers

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

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Answers

Answer:

−50≤7+6≤−8

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Answers

Answer:

Each point does NOT ALWAYS give the same amount of tickets.

11 point would most likely give 90 tickets.

Step-by-step explanation:

2 points give 18 tickets = 9 tickets per point

3 points give 27 tickets = 9 tickets per point

9 points give 72 tickets = 8 tickets per point

You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.

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Answer:

Im, not as sure, but I think it's 10 points!

Step-by-step explanation:

If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...

Honestly, I hope this helps, but I'm super sorry if that is wrong!!

Determine if the expression -c2 + 2c4 is a polynomial or not.

Answers

Answer:

5

Step-by-step explanation:

2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4​

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Answer:

would not be helpful to anser nowww... sory!

Step-by-step explanation:

Which rectangles similar to the one below?

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Answer:

D

Step-by-step explanation:

because half of 8 and 14 is 4and 7

the number line at the right models an addition sentence select all the situations below could be modeled by the addition sentence.

Answers

The first and last one are correct

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Answers

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

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Answer:

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5x^2 + 2x + 40x +16

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Given f(x) = 17(3+x) what is the value of f(-2)

Answers

Answer:

Step-by-step explanation:

f ( x ) = 17 ( 3 + x )

f ( -2 ) = 17 ( 3 + -2 )

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f ( -2 ) = 17

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A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?

Answers

Answer:

6.58 years

Step-by-step explanation:

Step one:

Given data

Principal=$9500

rate= 5%= 0.05

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Required:

The time t

Step two

The expression for the compound interest is

[tex]A= p(1+r)^t[/tex]

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substitute

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5p+30=8p

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

$671.25

Step-by-step explanation:

To get the amount by which the stock have reduced after 2 years, we will use the interest formula;

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Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Using only the money she has, can Lin pay for a 3 hour event? Explain or show your reasoning.
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Write and solve an equation to determine the number of hours Lin can rent the community center.
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Answers

Lin can only rent the hall for 4 hours with $300.

Linear equation

Linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the initial value of y.

Let c represent the cost of renting the hall for h hours.

From the question, we get:

c = 22.5h + 200

If Lin has $330, hence:

300 = 22.5h + 200

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Therefore Lin can only rent the hall for 4 hours with $300.

Find out more on linear equation at: https://brainly.com/question/14323743

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?

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choosing a blue, green, or yellow marble
choosing a yellow marble

Answers

Answer:

C) choosing a blue, green or yellow marble.

Step-by-step explanation:

The Complement of choosing a red marble means choosing any other marble that isn't red.

From the question , it was said that there were a blue , green, yellow and red marble.

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Answer:

c

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Volume equals pi times radius to the power of 2 times height

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Step-by-step explanation:

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Answers

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

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Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

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Find the square root of the fraction 4/49.
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Answers

Answer:

A

Step-by-step explanation:

2 times 2 = 4

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Answers

Answer:

-1/3

Step-by-step explanation:

The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.

Hope this helps! :)

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Answers

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Step-by-step explanation:

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Answers

The slope intercept it (0,4)
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