Batman slings a 320 ft. climbing cable from a helicopter to his batmobile below. If the cable tightens up
between the helicopter and the car to form an angle of depression of 54 degrees, how far along the ground is the
batmobile from the spot on the ground directly below the helicopter. (8 pts.)

Answers

Answer 1

Answer:

188 ft

Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

               |          \

               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft


Related Questions

Does this table represent a function?

Answers

Answer:

Yes it does!

Have an amazing day!!

Please rate and mark brainliest!

5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.

Show ur work 30 points

Answers

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

Tom has read 5/8 of the 360 pages in the book how many pages are left to read?

Answers

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

A train journey starts at 06:24 and ends and 21:16 on the same day how long is the journey give your answer in hours and minutes

Answers

14 hours
52 minutes

Need ans for it fastt!!

Answers

[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

i’m confused on this and i just moved from schools so

Answers

Answer:

(-2,3)

Step-by-step explanation:

The point where two lines cross should be your answer!!!

(-2,3) is where the two lines meet/cross!!

That is the definition of a system on a graph!

-Where two lines meet/cross!!

What is the equation of the circle pictured?





Explain your reasoning.

Answers

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = -5x + 4
y = -1/5 x + 2
y = 1/5 x - 4

Answers

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

Two sides of a triangle are 8 inches and 12 inches long each. Which of the following could be the length of the third side that would form a triangle?

Answers

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

Draw an illustration using the given information below (you don't need to answer the question itself and assume that the buildings, ladders, etc. are all on the ground)

• A bird sits on top of a 5-meter lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35º.

Answers

Step-by-step explanation:

here you go also I like your profile picture classroom of elite !


Mrs. Miller is measuring fabric for costumes for the school's musical. She
needs 10.5 meters of fabric. She has 140 centimeters of fabric. How much more
fabric does Mrs. Miller need?

Answers

1 metre is 100 cm so 10.5 metre is 1050 cm 1050 - 140 = 910 so she needs 910 cm or 9.1 m more

Answer:

9.1 meters or 910 centimeters

Step-by-step explanation:

10.5 meters = 1050 centimeters

1050 - 140 = 910 centimeters

this is for my geometry final please help me pass

Answers

Step-by-step explanation:

cos(x) = 5/13

the relation is

sin²(x) + cos²(x) = 1

so,

sin²(x) + (5/13)² = 1

sin²(x) + 25/169 = 169/169

sin²(x) = 144/169

sin(x) = 12/13

good luck !


Two people meet in the conference room on the fourth floor of a building. On departure, one person travels West
24 feet, South 18 feet, and Down 18 feet. The other person travels North 24 feet, East 12 feet, and Up 18 feet.
How far apart are the two people? Round to the nearest tenth.

Answers

Answer:

36*(5)^0.5

Step-by-step explanation:

distance on horizontal  36 feet

distance on vertical 78 feet

so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5

The two people are 66 feet apart from each other.

How to elaborate the problem ?

The 1st person travels 24 feet west, 18 feet south and 18 feet down.

The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.

The 2nd person travels 12 feet east, 24 feet north and 12 feet up.

The location of 2nd person is (12, 24, 18)

How to find the distance between them ?

The distance between  (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet

= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet

= 66 feet

Learn more about direction problem here :

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please help with these 4 questions

Answers

We use the BODMAS method to solve the given questions.

Solve the Bracket then Divide Multiply Add and Subtract

1. 32÷4×(16×1/2) - 2

= 32÷4 × ( 8 ) - 2

= 8 × 8 - 2 = 64 - 2 = 62

2. 20 ÷ (5×2/5) + 3

= 20 ÷ (2) + 3 = 20 ÷ 2 + 3

= 10 + 3 = 13

3. 1/2 ×(6×4) ÷ 3 + 2

= 1/2 × 24 ÷ 3 + 2

= 1/2 × 8 + 2

= 4 + 2 = 6

4. 2 (6÷2+8) - 4

= 2 (3+8) - 4

= 2 × 11 - 4

= 22 - 4

= 18

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

Answers

Step-by-step explanation:

The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC

What is the area of the triangle shown?

Answers

Answer:

6

Step-by-step explanation:

4 units x 3 units = 12 units / 2 to get a triangle

James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.

How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answers

Answer:

3/4

Step-by-step explanation: i took test. pls give brainliest.

If m∠4 = 90°, find the m∠5 and m∠3.​

Answers

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

hi, i am struggling to find this algebra 2 answer can anyone help? ill give you whatever u want

Answers

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

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

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

Paul buys snacks for his flight. He compares cashews to yogurt raisins. The cashews weigh 205
grams, and the yogurt raisins weigh 186 grams. What is the difference between the weight of the
cashews and yogurt raisins?

Answers

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

Please i need help with this

Answers

Your answer is c I just did it and got it righ

Nate surveyed 90 students at his school about their favorite class. Based on the graph, how many of the 630 students in the school would be expected to say their favorite class is Reading or Math?

Answers

Using proportions, it is found that 420 students in the school would be expected to say their favorite class is Reading or Math.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 90 students, 20 + 40 = 60 students prefer reading or math. How many do out of 630? Thus, the rule of three is given by:

60 prefer reading of math - 90 students.

n prefer reading of math - 630 students.

Applying cross multiplication:

90n = 630 x 60

n = 630 x 60/90

n = 7 x 60

n = 420

420 students in the school would be expected to say their favorite class is Reading or Math.

More can be learned about proportions at https://brainly.com/question/24372153

What is the mode of 10,9,10,9,10,8

Answers

Answer:

its 10

Step-by-step explanation:

The reason its 10 is because it shows more 10 then any number

10

To find the mode, you order the numbers lowest to highest and the number that appears most often is the mode

If x and y are complementary angles, then x and y are

Answers

Step-by-step explanation:

complementary angles sum up to 90

[tex]x + y = 90[/tex]

[tex]45 + 45 = 90[/tex]

[tex]x = 45 \\ y = 45[/tex]

Complementary angles are 2 angles that add up to 90°
Since you don’t have any of the values of either angles, just divide 90 by 2 to get 45. Each angle is 45°

please help URGENT!! What is the area of the red shaded region?

Answers

Answer:

5

Step-by-step explanation:

54÷8 x 4 ÷2 means that your answer would be 12

Kyle know, that if he tosses a coin, there a 50% probability of seeing it land head up . He tossed a coin in air 30 times and saw it land heads up 19 times. What is the difference between the predicted probability and the actual outcome of the coin toss?

Answers

Answer:

4 times, 2/15, 4/30

Step-by-step explanation:

The predicted probability is 15/30.

So, 19/30-15/30 IS 4/30, or 2/15.

6)Janel wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at
ads and finds these prices: $24,600, $19,000, $33,000, $15,000, and 20,000. What is the mean
price?

Answers

Prices given by

24,60019000330001500020000

Mean:-

[tex]\\ \rm\Rrightarrow \dfrac{Sum\:of\:price}{Total\:prices}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{24600+19000+33000+15000+20000}{5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{111600}{5}[/tex]

[tex]\\ \rm\Rrightarrow 22220\$[/tex]

mean price = $22320

mean is the average of a set of given numbers

set { $24,600, $19,000, $33,000, $15,000, $20,000 }

[tex]\sf m = \dfrac{\text{sum of the terms}}{\text{number of terms}}[/tex]

total 5 number of terms.sum of terms: 24,600 + 19,000 + 33,000 + 15,000 + 20,000 = 111600

[tex]\hookrightarrow\sf mean = \dfrac{111600}{5}[/tex]

[tex]\sf \rightarrow mean = 22320[/tex]

Find the length of BC.



Explain how you got it, please!
Thanks!

Answers

Answer:

BC = 30.73

Here,

[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]

so first solve for QD

[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]

[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]

[tex]\sf \hookrightarrow DQ =9[/tex]

Hence, QD = 9

Now! using Pythagoras theorem,

CD² + BD² = BC²19.2² + (9+15)² = BC²BC = √368.64+576BC = 30.73499634BC = 30.73 ( rounded to nearest hundredth )

Answer:

BC = 30.7 units (nearest tenth)

Step-by-step explanation:

As ∠AQR = ∠CQR  then ∠AQB = ∠CQD

This means that ΔABQ ~ ΔCDQ

Therefore, the side lengths of two similar triangles are proportional.

[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = BD = BQ + QD = 15 + 9 = 24b = CD = 19.2c = BC

Substituting values into the formula:

[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]

(since distance is positive only)

what is the quotient of 1,224 divided by 9

Answers

Answer:

136

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

1224/9 = 136

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

Learn more about quotient here:

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