A plane at an altitude of 7000 feet is flying in the direction of an island. If the angle of elevation is 21 degrees from the plane to the island, what is the HORIZONTAL distance until the plane flies over the island?

Answers

Answer 1

Answer:

6,535.06 feet

Step-by-step explanation:

The set up is right angles

hypotenuse = 7000feet

angle of elevation = 21 degrees

Required

horizontal distance (adjacent)

Using SOH, CAH TOA trig identity

cos theta = adj/hyp

cos 21 =  adj/7000

adj = 7000 cos 21

adj = 7000(0.9336)

adj =  6,535.06

Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet


Related Questions

Does BBC live matter why or why not?

Answers

Answer:

THIS IS NOT A MATH QUESTION HOWEVER GIVE MY. ANSWER AS BRAINLIST ANSWER

Its an opinion on people and their beliefs so it’s really up to you. Hope this helped

6×(80÷4+2×3+5)-7 solve​

Answers

Answer:

the answer you can try is

186x-7

Answer:

1853

Step-by-step explanation:

6(80/4+2*3+5)-7, 6(31)-7, 1860-7=1853

i need help ASAP FREE BRAINLIST

Answers

Answer:

d

Step-by-step explanation:

 

1.If the part is bigger than the whole, what must be true about the percent 2.If the part is smaller than the whole, what must be true about the percent ?

Answers

Answer:

1.greater than 100%

2.less than 100%

Step-by-step explanation:

A whole is represented by the percentage 100%. Therefore, if the part being targeted is bigger than the whole then it would be greater than 100%. While, if the part is smaller than the whole then it would be less than 100%. This is always true in every scenario due to "a whole" being represented as the entirety of the object or data in question, which is why in numerical value it is shown as being 100%

find the exact value of the composite function show work​

Answers

Answer:

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

Step-by-step explanation:

This function can be written as:

[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]

[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x).  This implies that the denominator is the cosine of the angle whose sine is 1/(2x)

Think of a right triangle and consider the angle with this sine.  Then the opposite side has length 1 and the hypotenuse has length  2x.  The Pythagorean theorem then implies that the adjacent side is

[tex]\sqrt{4x^{2} -1}[/tex]

The cosine of the angle is adjacent over hypotenuse, so the cosine is

[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]

The secant is the inverse of the cosine, so the answer is

[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]

How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of 5/9

Answers

Answer:

1

Step-by-step explanation:

5/9 = 0.5555555

The smallest sequence of repeating digits in the decimal equivalent of 5/9

0.5

0.5 + 0.05

0.5 + 0.05 + 0.005

0.5 + 0.05 + 0.005 + 0.0005

Hence, the number of digit in the smallest sequence of repeating decimal is 1

5/9 = 0.5....

Answer:

the answer is one

Step-by-step explanation:

Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is she right? Explain

Answers

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 before dividing.

I hope this helps!

This sum of -7 times A number and eight times the sum of the number and one is the same as the number -7

Answers

Answer:

-7x + 8(x + 1) = -7

Step-by-step explanation:

Mr.Campbell promised to donate $0.40 per lay-up the basketball teams make at their home games. If he donated $112.50 ,how many lay-ups did the Wildcats make? choose the anwser but show your work A) 5 ,B)56,C)17,D)282​

Answers

Answer:

D) 282

Step-by-step explanation:

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
help quickly​

Answers

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 - 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

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Answers

Ex one is x^5-3= x^2
Ex two is 16^2-4=16^-2


7x – 3y = 25
4x+5=y

Answers

Answer:

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  (−8,−27)

Equation Form: x=−8,y=−27

Equations from Tables
3. Two campgrounds rent a campsite for one night
according to the following table.
Write an equation for "Sunnyside Campground"
below." DO NOT SOLVE, THAT IS FOR SLIDE #5
Number of campers Sunnyside Campground Green Mountain Campground
1
$58
$40
2
$66
$50
3
$74
$60
4
$82
$70

Answers

Answer:

8

Step-by-step explanation:

Solve the equation by graphing the related function.
-x² – 4=0
Use the graphing tool to graph the parabola.

Answers

Answer:

Your graph is a parabola and needs to open down because the equation is negative. And your vertex is at (0,-4)

Tom and Katie are discussing the sequence 3n - 4
Tom says 34 is a term in the sequence.
Katie says 41 is a term in the sequence.​

Answers

Answer:

only katie

Step-by-step explanation:

34 is not a term in the sequence but 41 is, so in this case, only katie is correct

what expression is equivalent to -2(4x+5)?

Answers

i think it would be -8x - 10.

A donut shop made 32 donuts with frosting and 18 donuts without frosting. What is the ratio of the number of donuts with frosting to the number of donuts without frosting?

Answers

Answer:

16 to 9

Step-by-step explanation:

Represent donut with frosting with D1 and donut without frosting with D2.

So, we have:

[tex]D_1 = 32[/tex]

[tex]D_2 = 18[/tex]

Required

Find the ratio of D1 to D2

This is calculated as:

[tex]D_1 : D_2[/tex]

Substitute values for D1 and D2

[tex]D_1 : D_2 = 32 : 18[/tex]

Divide by 2

[tex]D_1 : D_2 = 32/2 : 18/2[/tex]

[tex]D_1 : D_2 = 16 : 9[/tex]

The ratio of donuts with frosting to donuts without is 16 to 9

Answer:

16 to 19

Step-by-step explanation:

Find the value of x.

Answers

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

What do you do to solve this equation: 10x
= 36
Divide by 36 on each side
Multiply by 10 on each side
Divide by 10 on each side
Multiply by 36 on each side

Answers

Answer:

Divide by 10 on each side.

The answer is the third option, divide by 10 on each side.

I hope you wouldn't mind giving me brainliest!!

Janelle expanded the expression as shown below. -4(-3x + 2/7) = -12x - 3 5/7 What errors did she make? Select three options

Answers

Answer:

Step-by-step explanation:

Janelle expanded the expression as shown below. -4(-3x + 2/7) = -12x - 3 5/7 What errors did she make?

We are given the expression:

-4(-3x + 2/7)

Solving this expression:

Expanding the brackets

-4 × -3x + -4 × 2/7

12x - 8/7

12x - 1 1/7

What is the slope of the line that passes through (-12, -5) and (0, -8)?

Answers

Answer:

-3/12

Step-by-step explanation:

pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in

Answers

Answer:

b) 256 inches

Step-by-step explanation:

8x5x2 = 80   (top & bottom)

8x5x2 = 80    (front & back)

8x8x2 = 128    (gross area of 2 sides)

4x4x2 =32      (delete this for side cutouts) Guessing the cutoff dimension on

                                                                       left side is 4m inch.

80+80+128-32 = 256 inches

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7.2 units

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^2 + (y_{2}- y_{1})^2 } \\d= \sqrt{(-4+8)^2 + (-5-1)^2} \\d= \sqrt{4^2 + (-6)^2} \\d=\sqrt{16+36} \\d=\sqrt{52} \\d=7.22[/tex]

What is 0.000303 in scientific notation

Answers

Answer:

3.03*[tex]10^{-4}[/tex]

Step-by-step explanation:

Given matrix A below, calculate det[A] twice using minors and cofactors

[tex]A = \left[\begin{array}{ccc}1&2&3\\3&4&5\\6&7&8\end{array}\right][/tex]

Pivot on:
a) row 2, and also
b) column 3

Answers

Answer:

a. 3(16-21) - 4(8-18) +5(7-12) = -15 + 40 - 25 = 0

b. 3(21-24) - 5(7-12) + 8(4-6) = -9 + 25 - 16 = 0

Two high schools are going on a field trip. One rents 8 vans and 9 buses for 228 students. The other rents 4 vans and 5 buses for 124 students. How many people can you fit in a van? How many people can you fit in a bus?​

Answers

Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

(-1.3x-4.5)−(−2.1x+3.6)
step by step pls

Answers

remove the unnecessary parentheses so it would be -1.3x - 4.5 + 2.1x -3.6. combine the like terms -1.3x & + 2.1x & it becomes 0.8x & then you combine -4.5 -3.6 & it becomes -8.1 so your answer is 0.8x-8.1 !! let me know if that was right

b. (4,-7)
C. (-7,-10)
2. Tentukan persamaan garis yang melalui titik (12, -8) dan sejajar dengan garis
yang persamaannya sebagai berikut
a. Gy = 4x +18
b. 5x + 2y =14
molalui titik (-18, 7) dan tegak lurus dengan​

Answers

Answer:

b)-3

c)17

d)-11

Step-by-step explanation:

4,-7)

-3

Can you PLEASE HELP ME!!!

Answers

Answer:

The correct answer would be B I believe

Step-by-step explanation:

The correct answer is d

Multiply the two polynomials and write your answer in standard form – 3x (4x - 2)​

Answers

Answer:

-12x^2+6x

Step-by-step explanation:

-3x(4x-2)

-12x^2+6x

The standard form of the polynomial is -12x² +6x.

What is a polynomial?

A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.

The given expression is  – 3x (4x - 2)​

Solving further,

–3x (4x - 2)​

=-12x² +6x.

The standard form of the polynomial is -12x² +6x after multiplying  – 3x (4x - 2)​

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ2

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