Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of
depression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first
home?

Answers

Answer 1

The distance between the helicopter and the first home is 369. 87 m

How to solve the distance using the angle of depression?

The distance between the helicopter and the first home can be found using sine law,

Therefore,

180 - 72 - 49 = 59 degrees.

Hence,

420 / sin 59 = A / sin 49°

where

A  = distance form the first home to the helicopter.

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

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Jack Is In A Helicopter And Looking Down At Two Friends Homes. The Angle Of Depression To The First Home

Related Questions

Help me please answer all thanks

Answers

The coordinates are 3,3

Answer:

the coordinates are (3,3)

Step-by-step explanation:

hope I helped!!

what is the sum of 3aa+5aa=

Answers

Answer:

8aa

Step-by-step explanation:

Answer:

8aa is the correct answer of this question

y=1/2x +-6 on a graph

Answers

You can use Desmos Graphing Calculator to help out

Answer:

(0,-6) and (12,0)

Step-by-step explanation:

These two points form a line that follow the rule of the equation

Ella is 66 inches tall. Andy is 6 1/2 feet tall. Who is taller? By how much? (12 inches = 1 foot)

Answers

Answer:

Andy is taller by one foot or 12 inches

Step-by-step explanation:

Ella = 66 inches = 5'6"

Andy = 6 1/2 feet = 6'6"

Andy is taller by one foot or 12 inches

Andy is taller by one foot or 12 inches

Given:

Ella is 66 inches and Andy is 6 1/2 feet.

12 inches = 1 feet.

Convert inches in to feet.

12 inches = 1 feet.

1 inches = 1/12 = 0.083

66 inches = (0.083 * 66) = 5.5 feet.

Andy = 6 1/2 feet = 6.5 feet.

6.5 > 5.5 (6.5 is greater than 5.5).

Andy is taller by one feet or 12 inches

Therefore, Andy is taller by one feet.

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what is the square root of 169​

Answers

Answer: 13

Step-by-step explanation:

Jane bought a jacket that costs $49.95 plus a sales tax of 8%. How much sales tax did Jane pay for the jacket?

A) $54.07
B) $45.83
C) $5.00
D) $4.12

Answers

Answer:

$3.996

Step-by-step explanation:

8%=0.08

49.95*0.08=3.996

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buys bottles by the case to get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?

Answers

she will need to buy 6 cases

What is the solution to the equation? ​

Answers

X=63


Hope this helps you ☺️

Answer:

C. x = 63

Step-by-step explanation:

X ÷ 3 = 21 is the same as 3 × 21 which is 63.

Last week, Jay had $217 in the bank, but this week, Jay is $28 in debt. Write an equation that describes that situation.

Answers

Answer:

?

Step-by-step explanation:

Answer:

217-245=-28

Step-by-step explanation:

Add $28 to $217, which is $245. Then subtract 245 from 217.

Use a unit multiplier to convert 0.37 liters to milliliters.

Answers

Answer:

370

Step-by-step explanation:

Multiply the number of liters (L) by 1,000 to find the number of milliliters (mL). There are 1,000 times as many milliliters as there are liters. For instance, say you have 3 liters. Simply multiply 3 liters by 1,000 to get 3,000 milliliters.

helppppp pleaaaaaseee

Answers

It is b because you can see how it works and stuff

i need helpppppppppppppp​

Answers

Answer:

B

Step-by-step explanation:

Factor out 1/4.

1/4 - 3/4 x = (1/4)(1 - 3x)

Answer: B

b because 1/4*1 = 1/4 and 1/4*-3 = -3/4

12 parents volunteered to
chaperone the dance. If 15% of all
parents polled volunteered, how
many parents were asked to
volunteer?

Answers

Answer:

80

Step-by-step explanation:

15/100x=12

3/20x=12

x=12*20/3=80

if my answer helped please mark as brainliest.

Answer:

if 15% of all parents polled volunteered, then 80 parents were asked to volunteer.

Step-by-step explanation:

Okay so basically 12 is 15% of a number therefore 12/? = 15%/100?

So we multiply 12 x 100= 1200

Then divide 1200 ÷ 15 to get your answer.

1200 ÷ 15 = 80

Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A
new quadrilateral is created, using a scale factor of 0.25.
Which of the following are side lengths of the new
quadrilateral?
Quick first gets brainliest!!

Answers

Answer:

You didnt put any answer choices but by applying that scale factor, I got these measurements in the order you put them in. 0.5. 1.25. 1.75. 3.

Simplify
(2m-m) - (3m+4n)

Answers

-2m-4n that’s the answer.


the equati...
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram.
36
4.5
X = ?

Answers

Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

The table represents some points on the graph of the exponential function that models the radioactive decay of a sample of xenon-135.

Which statement about the graph of this function is true?

(See the picture below)

A) There is an asymptote at y = 70.

B) The y-intercept is located at (0, 70).

C) There is an asymptote at x = 0.

D) The x-intercept is located at (70, 0).

Answers

Answer: b the y-intercept is located at (0,70)

The exponential curve passes through the point (0, 70). Then the correct option is B.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.

At x = 4.6, the value of 'y' will be 49.5.

[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]

At x = 9.2, the value of 'y' will be 35.

[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]

From equations 1 and 2, then we have

[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]

Then the value of 'a' will be

[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]

Then the equation is given as,

y = 70 · (0.927)ˣ

The graph is given below.

The exponential curve passes through the point (0, 70). Then the correct option is B.

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Evaluate the expression when when c = 3 and d = 33

Answers

Answer:

45

Step-by-step explanation:

Find the x- and y-intercepts of the graph of x + 5y = 6 state your answer as whole numbers or as improper fractions in simplest form

Answers

Answer:

[tex]y=-\frac{1}{5}x+\frac{6}{5}[/tex]

Step-by-step explanation:

Let's solve for x.

[tex]x+5y=6[/tex]

Step 1: Add -5y to both sides.

[tex]x+5y+-5y=6+-5y[/tex]

[tex]x=-5y+6[/tex]

Answer:

[tex]x=-5y+6[/tex]

Let's solve for y.

[tex]x+5y=6[/tex]

Step 1: Add -x to both sides.

[tex]x+5y+-x=6+-x[/tex]

[tex]5y=-x+6[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5y}{5}=\frac{-x+6}{5}[/tex]

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

Answer:

[tex]y=\frac{-1}{5} x+\frac{6}{5}[/tex]

If it costs $300 to tile a 420 square foot room, how much will it cost to tile a
room with 1,050 square feet?

Answers

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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How do we solve this?

Answers

Answer:

B is (3, 10)

Step-by-step explanation:

The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is

(x1 + x^2) / 2 , (y1 + y2)/2.

So if (x, y) are the coordinates of B we have:

(7 + x)/2 + (2 + y)/2 = 5 + 6

So 7 + x = 2*5 so x = 3

AND 2 + Y = 12 SO y = 10.

Solve for y: LaTeX: \frac{y}{11} = 8
GIVING BRAINLIST!!!

Answers

Answer:

y = 88

Step-by-step explanation:

(I'm assuming that by \frac{y}{11} you mean y/11)

You can solve this by multiplying by 11 on both sides. y/11 = 8, so if you multiply by 11 on both sides, you get that y = 8 * 11, so y = 88

Help PLEASE I forgot how to do this :'(​

Answers

Answer:

C) The sum of the first 2 terms after the fourth term.

Plzz write with formula and explanation plzzzzzzzz answer fast

Answers

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

can some one help me please....
by step by step explanation...... ​

Answers

The answer is A) 4.step by step explanations is in the picture.

whats the area of 18ft and 32ft as a right triangle

Answers

9514 1404 393

Answer:

  288 square feet

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

For a right triangle, the leg lengths can be used for b and h.

  A = 1/2(18 ft)(32 ft) = 288 ft²

The area of the right triangle is 288 square feet.

The population of a city has increased by 38% since it was last measured. If the current population is 89,700, what was the previous population.

Answers

Answer:

65000

Step-by-step explanation:

Given data

Let the previous population be x

the increase was by 38%

The expression below describes the current population

38/100*x+ x=89700

0.38x+x= 89700

1.38x= 89700

x= 89700/1.38

x= 65000

Hence the previous population is 65000

Hey I'm Chloe Lol, Can You Help Me Thank you :)
Solve The following For x :
3( 3x+9) = 4(4 x+5)

Answers

3x-9=4

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

3(3x+9)=4(4x+5) distribute through multiplication

9x + 27= 16x + 20 subtract 9x and 20 from both sides

7 = 7x divide both sides by 7

x =1

check work

3(3(1)+9) = 4(4(1)+5) distribute the x

3(12) = 4(9)

36 = 36

Congrats I hope this helped!

PLEASE ANSWER ASAP!

Find (f+g)(x).

f(x) = 1/x

g(x) = x² + 2x - 5

-----------------------

a.) 1/x - x² - 2x b.) 1/x + x² + 2x - 5

c.) x² + 2x -5 - 1/x d.) 1/x + x² - 5​

Answers

Answer:

I think it is b but I could be wrong

2) Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8

Answers

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

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