the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]

Answer 2

9514 1404 393

Answer:

  999 meters

Step-by-step explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

  hypotenuse = (mountain height)/sin(33°)

  lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.


Related Questions

I need help

A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?

A:

72 cm

B:

6 cm

C:

24 cm

D:

18 cm

Answers

Answer:

A 72cm

Step-by-step explanation:

Area of a triangle = 1/2 base x height

= 1/2 × 8× 9 = 36cm2

area of triangle = area of square

36cm2 = 36cm2

area of square = length x breath

= x x x = 36cm3

square has all sides(4) equal

therefore: 36/ 2 = 18cm (one side)

(18 x 18= 36cm3, so area is correct)

hence perimeter = 18+ 18+18+18 = 72cm

Measure these angles.
a)
b)​

Answers

Answer:

Step-by-step explanation:

Angle A = 55 degrees.                                                                                                   Angle B = 61 degrees.

The measure for part a is 55 degree.

The measure for part b is 61 degree.

What is Acute Angle?

An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.

An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given:

from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.

Also, we know that Angles which are less than 90 degree is acute angle.

So, the both angles are less than 90.

The measure for part a is 55 degree.

and, the measure for part a is 61 degree.

Learn more about Acute angle here:

https://brainly.com/question/27749090

#SPJ2

Cook's bakery is making 15 cakes. Each cake contains 2 cups of flour. How many cups of flour (F) are needed to make all the cakes?
A) 2/F = 15
B) F/2 = 15
C) 15/2 = F
D) F = 15 + 13

Answers

Answer:

i think its C pls mark brainliest tho

Step-by-step explanation:

Answer: C

Step-by-step explanation: So it's asking you how many cups of flour in total it is suppossed to be multiplication but since there is no multiplication the only other answer that makes sense it C.

Janet is playing a game in which she interacts with an environment to solve a puzzle and to meet new characters. She really enjoys this game because there are no time constraints or pressure to perform with speed. What genre of game is Janet most likely playing?

simulation

action

adventure

sports

Answers

Answer:

adventure

Step-by-step explanation:

Answer:

adventure

Step-by-step explanation:

Mark was working on the long jump competition, and he was able to jump 9 3/4 feet. Chris jumped 7/8 as far as Mark. write and solve the equation that will help you fight how far Chris jumped. explain the steps you took to solve problem. THIS URGENT PLEASE HELP!!​

Answers

Answer:

10 5/8

Step-by-step explanation:

9 3/4 + 7/8 = 9 6/8+7/8=

10 5/8

The distance jumped by Chris in total would be as follows:

[tex]10\frac{5}{8}[/tex]

Find the distance

Distance is denoted as the space that one covers from a particular place to the other.

Given that,

The distance jumped by Mark [tex]= 9\frac{3}{4}[/tex] feet

The distance jumped by Chris [tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

So,

The total distance covered by Chris would be:

[tex]= \frac{7}{8} + 9\frac{3}{4}[/tex]

[tex]= \frac{7}{8} + \frac{39}{4}[/tex]

[tex]=[/tex] [tex]\frac{(7 + 78)}{8}[/tex]

 [tex]= \frac{85}{8}[/tex]

[tex]=[/tex] [tex]10\frac{5}{8}[/tex]

Thus, [tex]10\frac{5}{8}[/tex] is the correct answer.

Learn more about "Fraction" here:

brainly.com/question/1301963

There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)

Answers

Answer:

The awnser is 3^10

Step-by-step explanation:

10 lemons cost £1. 20 find the cost for 4

Answers

0.48p

Step-by-step explanation:

1.20÷10=0.12

0.12×4=0.48

put the wrong answer ignore this

Determine whether the given statement is true or false. 1 14 E {12, 14, 16, 18} ​

Answers

If your asking if it is a pattern then yes

Find the perimeter of the shape on this centimetre grid.

Answers

Answer:

the perimeter is 16

Step-by-step explanation:

The computation of the shape on this centimeter grid is shown below:

As we can see in the attached figure that the some portion is highlighted

So if we count that

like

So after counting it comes 16

Therefore the perimeter is 16

a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12 m. if it is to be painted on the exterior, then how much total surface area is to be painted?

Answers

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

(FILL IN THE BLANK)

Analyze the graph of the exponential decay function.

The initial value is _____

The base, or rate of change is _____

The domain is _____

Answers

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

i need help with

−5 × −8 =

Answers

Answer:

40

Step-by-step explanation:

-5 * (-8) = 40

Answer:

40

Step-by-step explanation:

Because multiplication of subtract will be added

Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.

Answers

Answer: $580

Step-by-step explanation:

Equation for this problem: 250 + 0.06c = p  where c = commission and p = pay

If the sales for this employe was $5500, we can fill out the equation:

250 + 0.06 × 5500 = 580

The employee is paid $580.

I am not a professional, simply using prior knowledge.

Note- It would mean the world to me if you could mark me brainliest!

A line has a gradient of -2
A line that is parallel to this will have a gradient of ...

Answers

Given:

A line has a gradient of -2

A line that is parallel to this will have a gradient of ..... .

To find:

The missing value.

Solution:

Gradient of a line is also known as slope of the line.

We know that the slopes of the parallel lines are equal.

A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.

Therefore, the missing value is -2.

What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °

And are we all struggling in geometry and super stressed out and behind or is it just me

Answers

Answer:

What is the value of y?

y = ✔ 10

mAngleJKM = ✔ 106°

mAngleMKL =  ✔ 74°

Step-by-step explanation:

Answer:

1: 10  2: 106  3: 74

Step-by-step explanation:

20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?

Answers

Answer:

13 min 8 sec

Step-by-step explanation:

Answer:

13 hours 15 mins

Step-by-step explanation:

20.7/1.5= 13.8

Simplify the expression (-502) square root 0

Answers

Answer:

[tex]-502\sqrt 0 = 0[/tex]

Step-by-step explanation:

Given

[tex]-502\sqrt 0[/tex]

Required

Simplify

[tex]-502\sqrt 0[/tex]

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

[tex]\sqrt 0 = 0[/tex]

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

So:

[tex]-502\sqrt 0 = -502 * 0[/tex]

[tex]-502\sqrt 0 = 0[/tex]

calcule a área calcule a área em metros do quadrados do paralograma
h=100cm
b=2m ​

Answers

100(2)(1/2)= 100cm squared

area of 10 and 7 in square inches

Answers

Answer:

70 sq. in

Step-by-step explanation:

7*10=70

sorry if im wrong

How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?

Answers

It would most like be $43 with tax if I’m not mistaken

Answer:

$43.2

Step-by-step explanation:

You need to divide 40 by 100 then multiply by 8, after that add what you get to 40.

Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution

Answers

8x >/= 120
x >/= 15
She must work 15 hours or more to earn at least $120

There are 36 students in a class, 10 girls and 26 boys. What is the probability of picking a boy out of the class and how likely is it that a boy would be chosen?

Answers

Answer:

13/18

Step-by-step explanation:

P(Picking a boy)=26/36=13/18

Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?

Answers

Area = length x width

Area = 5/4 x 5/4 = 25/16 ft squared

is 6 a factor for 71

Answers

Answer:

no its not kpfkansnsbsdhdbdb

If the length of a rectangle is 12cm and the area is 48 what is the breadth and perimeter?

Answers

Answer:

32

Step-by-step explanation:

width- 48/12= 4

(12+4)2

=32

hope that helps if it does plese mark as brainliest.

How could I write 3 as a fraction?

Answers

You could write 3 as a fraction by 3/1

Answer:

[tex]3/1[/tex]

Step-by-step explanation:

You can put any number as a fraction by simply placing a one in the denominator spot.

Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor

Answers

Answer: B) No; the remainder is 234, so (x+3) is not a factor.

===============================================================

Explanation:

We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).

We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.

To find the remainder of f(x)/(x+3), we need to compute f(-3).

Plug x = -3 into the f(x) function to get...

f(x) = 4x^3 + 11x^2 - 75x + 18

f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18

f(-3) = 234

The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).

Answer:

No; the remainder is 0 so (x + 3) is not a factor

Step-by-step explanation:

Cargo shipping, an automobile manufacturer is preparin shipment of a cars andvtrucks on a cargo ship that can carry 21,600 tons
The cars weigh 3.6 tons each and the trucks weihgt 7.5 tons each. 1. Wtite thevequation thatvrepresents the weight constraint of a shipment let be the number of cars and be the numbers of trucks.

Answers

Answer:

3.6c + 7.5t <= 21,600

Step-by-step explanation:

Let c = number of cars, and let t = number of trucks.

c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.

3.6c + 7.5t <= 21,600

A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?

Translate the problem into 2 equations.


Let the x be the number of $10 bills and y be the number of $20 bills.

Answers

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]

PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4

Answers

Answer:

-18 x 4 = -72

Step-by-step explanation:

a negative times a positive is a negative number.

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