A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed from a point 970 ft from the base to the top of the mountain. Find the shortest length of cable needed.

Answers

Answer 1

Answer:

3917m

Step-by-step explanation:

We are given that

[tex]\theta=74^{\circ}[/tex]

[tex]h=3400 ft[/tex]

We have to find the shortest length of cable needed.

Let Base=x

We know that

[tex]tan\theta=\frac{Perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tan74^{\circ}=\frac{3400}{x}[/tex]

[tex]x=\frac{3400}{tan74}=975m[/tex]

[tex]y=x+970=975+970=1945m[/tex]

Now, the length of cable needed

=[tex]\sqrt{(3400)^2+(1945)^2}[/tex]

=3917m

Hence, the shortest length of cable needed=3917m


Related Questions

SOLVE THIS PROBLEM PLEASE EXPLAIN HOW IT IS CORRECT PROVIDE! ASAP PLS THANK YOU SO MUCH FOR HELPING 10+ POINTS

Answers

Answer:

14x7=98

Step-by-step explanation:

First you see the line going down and there is the height 7 you can move that tiny triangle to the left where the parallelogram can be made into a rectangle.

all you need is to multiply base x height

base 14cm height 7cm pls brainliest

hope this helps!

Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase​

Answers

Answer:

She needs to buy 420 candy hearts.

Step-by-step explanation:

15*28 = 420

15 per student, and there is 28 students

The number of candy hearts that she needs to purchase will be 420.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.

Then the number of candy hearts that she needs to purchase will be given as,

⇒ 15 x 28

⇒ 420

The number of candy hearts that she needs to purchase will be 420.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

What is the side length?

Answers

Answer:

[tex]2\sqrt{10}[/tex][tex]x[/tex]⁴[tex]y\\[/tex]²[tex]\sqrt{y}[/tex]

Step-by-step explanation:

what can be characterized the african music

Answers

Answer:

the melodies are usually short and simple. african music uses short bits of melody that are repeated over and over. singers or instrumentalists may change them at will, so that the performance becomes a theme with many variations.

Step-by-step explanation:

Answer:

champeta

Step-by-step explanation:

is danced in colombia but its it from africa

When the cheifs be wining

yesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyesyes

Answers

Answer:

Loll.

Step-by-step explanation:

Pls answer quick I will give brainliest

Answers

Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

What’s the answer???

Answers

Answer:

17

Step-by-step explanation:

FOR THE LOVE OF GOD PLEASE HELP ME I WILL GIVE 30 points

Answers

Answer:

Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).

Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).

Step-by-step explanation:

The variables have to be the same in both equations in the 2 × 2 system.

All of this should be included

Paco goes to the store and buys a carton of eggs. The carton has 4 rows of eggs. There are 6 eggs in each row. Then he buys 8 bagels. How many eggs and bagels does Paco have altogether? Its a? I got from school and I need help.

Answers

Answer:

32

Step-by-step explanation:

If there are 6 eggs in a row and there are 4 rows, the total number of eggs = 6 x 4 = 24 eggs

The sum of eggs and bagels = 24 + 8 = 32

Kaylin buys a greeting card for $3.79. She then buys 4 postcards that all cost the same amount. The total cost is $5.11. How much is each postcard?

Answers

Answer:

$0.33

Step-by-step explanation:

5.11-3.79=1.32 1.32/4

Hope this helps :)

Answer:

each postcard cost .33 or 33 cent

Step-by-step explanation:

5.11(total cost)-3.79(greeting card)= 1.32

1.32(cost of all postcards)/4= .33

Answer right to get points

Answers

Answer:

72

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

18 divided by 3/4 equals 24

PLEASE ANSWER ASAP!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

You would divide the yards by 5 to get the inches.

Length - 2in

width - 2 2/3

A line is given by the equation 9x + 2y = 10. Which equation gives a line perpendicular to this line?

Answers

9x+2y=10
2y=-9x+10
——
2
y=-9/2x+5 (equation in y=mx+b form)

PERPENDICULAR LINE

y=2/9x

it can be any number + or -

Pls help me no need explanation ❤️ 24 pointsss

Answers

Answer:

3 4/60

Step-by-step explanation:

Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 bricks used in all. How many red bricks were used?
Group of answer choices

40

100

20

28

Answers

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

I’ll mark brainliest again to the first answer

Answers

Answer:

Yes i am pretty sure it is 3/5

Step-by-step explanation:

BEcause y is always over x in this kind of math

20 POINTS IF YOU GET THIS I NEED HELP

Answers

Answer:

sum=3.2559347

Step-by-step explanation:

product= 2x6x2 798.364

did it on edginuty and got it right

The perimeter of a isclose triangle is 24in and the length of the side is 4 in find the 2 other sides

Answers

Answer:

10 inches

Step-by-step explanation:

Given

Shape: Isosceles Triangle

[tex]Perimeter=24\ in[/tex]

[tex]Side = 4\ in[/tex]

Required

Find the length of the other two sides

Represent the other sides with x.

Since it is an isosceles triangle, 2 sides are equal.

So, we have:

[tex]x + x + 4 = 24[/tex]

[tex]2x + 4 = 24[/tex]

Collect Like Terms

[tex]2x = 24-4[/tex]

[tex]2x = 20[/tex]

Divide both sides by 2

[tex]\frac{2x}{2} = \frac{20}{2}[/tex]

[tex]x = \frac{20}{2}[/tex]

[tex]x = 10[/tex]

The other sides are 10in each

Multiply and Simplify. Show work to earn full credit. pls help and ty<3 20 pts
(3x-2) (5x^2-6x+2)

Answers

Answer:

15x^3 - 28x^2 + 18x -4

Step-by-step explanation:

(3x-2) (5x^2-6x+2)

[tex]15x^3 -18x^2 +6x - 10x^2 + 12x - 4[/tex]

[tex]15x^3 - 28x^2 + 18x -4[/tex]

Answer:

I just wanna steal your points :)

Step-by-step explanation:

Ok so this is a question Im too dum to answer, please help :(

Answers

Answer:

6z^3 + 4z^2 + 5

Step-by-step explanation:

Combine like terms from each side of the expression.

(4z^3 + 2z^3) + (3z^2 + z^2) + (8 - 3)

6z^3 + 4z^2 + 5

pls tell the answer to this question pls

Answers

The answer is C:25% was what percentage she lost
The answer of the question is C:25

The instructions in the kite book state that sin ∠ABC = . Since the two right triangles that make up the kite are congruent, then sin∠CBD = as well. Using the definition of sine, what is AB? Show your work

Answers

Answer:

Exact answer

Step-by-step explanation:

Answer:

Plato

Step-by-step explanation:

sin<ABC= 1/2

AC/AB = 1/2

AC= 60 cm

60/AB= 1/2

AB= 120

omg for the love of god 30 points please help

Answers

X = 56 y= 68 z= 69

Pls give me brainly =P

Is x = 3 a solution to the inequality below?

5 ≥ x

Answers

Answer:

yes

Step-by-step explanation:

5 is more than or equal to 3

3 makes the inequality true

plz mark me brainliest

Answer:

No the answer would be x  ≥ 5

Ben has dollars. Sally has dollars less than Ben. ​Which expression represents the amount of money that Sally has?

Answers

Answer: m - 5

Step-by-step explanation:

Ben has m dollars.

Sally has $5 less than the amount that Ben has. This means that to find the amount of money Sally has, one needs to deduct $5 from the amount that Ben has.

Again, Ben has m. Sally's money is therefore:

= m - 5

A hemisphere-shaped security mirror fits exactly inside a rectangular prism box with a square base that has edge length 10 inches. What is a reasonable estimate for the volume of this mirror?

Answers

Answer:

?????????????????????????

Step-by-step explanation:

The solution is, final answer is 288 square inches.

What is area?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

Given that Area of the square mirror = 256 square inches

We know that area of square is given by formula

Area = x^2, where x is the side of the square

plug the given value

256=x^2

take square root

16=x

Hence width of the square is 16 inches.

Given that a rectangular mirror has a width the same as the square mirrors width.

Then width of the rectangle = 16 inches

Length of the rectangle = 16+2 = 18 inches

Area of rectangle = Length * width = 16*18 = 288

Hence final answer is 288 square inches.

To learn more on Area click:

brainly.com/question/20693059

#SPJ3

How do you Simplify 10-(-2)

Answers

12 the negative signs cancel out so it’ll just be addition so 12

PLEASE HELP ITS URGENT

Answers

Answer:

20

12

16

Step-by-step explanation:

if the y colume is equal to whatever is in the x column if you multiply the x column by 4, so 5 times 4 is 20 ec.

HELP ME RN PLEASEEEE!!!!!!!!
how many 3/8 are in 8, explain how you know

Answers

Answer:

exactly 21 sets of 3/8 fit into 8

Step-by-step explanation:

Basically you just draw 8 boxes split them in 8ths and you end up with 21 sets of 3/8

The population of a suburb is 4000 people. The population of the suburb

is expected to double each decade. The expression 4000 • 2d models the

population of the suburb after each decade d.


Please Answer: Evaluate the expression for

d = –2.

Answers

Answer:

1000

Step-by-step explanation:

The population of the suburb after each decade d is given by the equation as follows :

[tex]P=4000\times 2^d[/tex]

We need to evaluate the expression for d = -2.

Put d = -2 in the above equation. So,

[tex]P=4000\times 2^{-2}\\\\=4000\times \dfrac{1}{2^2}\\\\=4000\times \dfrac{1}{4}\\\\=1000[/tex]

So, if d = -2, then the population of the suburb is equal to 1000.

Other Questions
Which best determines the health of a lake used as a source of freshwater?A. its depth and widthB. its temperature and pHC.its location and depthD.its temperature and depth 7a + 4- 2a = 7a +- 2a + 4=. 5a . 0. -5. 5a+4 Give three materials maps can be deployed on. 3 1/2 + 8 3/4 + 7 5/12 + 1 1/5 = Need this asap ill mark brainliest and give a 5 star Read the excerpt below from the reading. Then rewrite the excerpt from the point of view of Shiros neighbor.The greedy neighbor, hearing of this new piece of good luck, was filled with envy as before, and called on the old man and asked to borrow the wonderful mortar for a short time, pretending that he, too, sorrowed for the death of Shiro, and wished to make cakes for a festival to the dogs memory.The old man did not in the least wish to lend it to his cruel neighbor, but he was too kind to refuse. So the envious man carried home the mortar, but he never brought it back.Several days passed, and Shiros master waited in vain for the mortar, so he went to call on the borrower, and asked him to be good enough to return the mortar if he had finished with it. He found him sitting by a big fire made of pieces of wood. On the ground lay what looked very much like pieces of a broken mortar. In answer to the old mans inquiry, the wicked neighbor answered haughtily:Have you come to ask me for your mortar? I broke it to pieces, and now I am making a fire of the wood, for when I tried to pound cakes in it only some horrid smelling stuff came out. HELP ME. Convert 2.5 grams of water into molecules of water. Please help with math ASAP, will give brainliest Convert the fraction to a decimal 5/15 please help!!!!!!!!! Why were many countries of Europe in danger of succumbing to communism following World War II? Choose the aqueous solution below with the highest freezing point. These are all solutions of nonvolatile solutes and you should assume ideal van't Hoff factors where applicable.(i) 0.200 m HOCH2CH2OH (ii) 0.200 m Ba(NO3)2 (iii) 0.200 m K3PO3 (iv) 0.200 m Ca(CIO4)2 (v) These all have the same freezing point. plzzzzzzzzzz help ASAP Use the elements below to Crete logical sentences A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the coast, to the nearest foot, is the island? need help ........... an = n2- 5A) {1, -4, 4, 11, 116...}B) {1, 2, 3, 4, 5, 6, ...}C) { -4, 11, 116, 13451,...}D) { -4, -1, 4, 11, 20,...} Why would combining cells that result from Mitosis not work for fertilization?Pls pls answer I need help! Where does the mRNA go after it is produced? Evaluate: xy+2x^2, if x=0.1 and y=9.8 Helppppppppppppppppppp Ill mark you brainlist