All categories

3 years ago

41. A person on a Ferris wheel sits a distance of 45 feet from the Ferris wheel's center. If they

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:

(1) 39 feet

Step-by-step explanation:

Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.

sin x = opposite/hypotenuse

sin 120 = vertical distance/ 45 feet

vertical distance = 0.8660 * 45 feet

vertical distance =38.97 feet = 39 feet

You might be interested in

John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr

fenix001 [56]

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 38⁰

Adjacent = a = 5 ft

Opposite = b = 20 ft

Hypotenuse = Tree length = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

$\:c=\sqrt{a^2+b^2}$

substituting a=5, b=20

$c=\sqrt{5^2+20^2}$

$c=5\sqrt{17}$

$c=20.6$ ft

Thus, the tree is 20.6 ft tall.

3 0

3 years ago

Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1. Answer: cosθ=

marta [7]

The angle between the planes is the same as the angle between their normal vectors, which are

n₁ = ⟨1, 1, 1⟩

n₂ = ⟨4, 3, 1⟩

The angle θ between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)

8 = √3 √26 cos(θ)

cos(θ) = 8/√78

4 0

3 years ago

What is the slope of a line that passes through the origin and the point (-2,1)?

Mazyrski [523]

Answer:

The slope would be -1/2.

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

= ( 4, -2 ),

Now, the slope of the line passes through the origin and the point ( 4, -2) is,

= -1/2

<h3>i think thats the answer</h3><h2> HOPE IT HELPS YOU THOUGH</h2>

8 0

3 years ago

Two trials are conducted for an experiment. In Trial A, the measured value is 240, while the actual value is 200. In Trial B, th

Zepler [3.9K]

Answer:

A is the answer 456% and 512%

Step-by-step explanation:

Percent Errors

Trial A

Trial B

Measured Value

240

195

Actual Value

200

240

Percent Error

Complete the table.

Percent Errors

Trial A

Trial B

Measured Value

240

195

Actual Value

200

240

Percent Error

440440%

435435%

5 0

2 years ago

An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passenger

maw [93]

F(x,n,p)=C(n,x)p^x*(1-p)^(n-x)
n=9, p=0.8 =>
f(x,9,0.8)=C(9,x)0.8^x*(0.2)^(9-x)

The function f(x,9,0.8) is then calculated using the above formula
x f(x)
0 0.0000001 0.0000182 0.0002953 0.0027534 0.0165155 0.0660606 0.1761617 0.3019908 0.3019909 0.134218

Check Sum f(x), [x=0,9] = 1.0 ok

4 0

3 years ago