Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the base of the pole to the end of the rope is 15 meters. What is the angle made by the rope and the ground?

A. 21.2∘
B. 66.8∘
C. 25.4∘
D. 64.6∘

Answers

Answer 1

Answer:

[tex]B. \: \boxed{66.8}[/tex]

Step-by-step explanation:

[tex]to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\ \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given : \to \\ the \: \boxed{opp }\: of \: the \: required \: angle \: = 35. \\ the \: \boxed{adj }\: of \: the \: required \: angle \: = 15. \\ now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta) = \frac{opp}{adj} \to\\ \tan( \theta) = \frac{opp}{adj} = \frac{35}{15} = 2.3333333333 \\ \theta = \tan {}^{ - 1} (2.3333333333) \\ \boxed{\theta = 66.80}[/tex]

♨Rage♨


Related Questions

I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?

Answers

Answer:

360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am

A decrease of 250 attendees

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Answer:

-250 attendees or you owe 250 attendees

Step-by-step explanation:

Decrease means negative or subtracting of something.

So a decrease of 250 attendees is -250  

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]

Answers

Answer:

[tex] b.~~s \le 35 [/tex]

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

[tex] s \le 35 [/tex]

which statement and reason are missing in the proof? A=A; reflexive

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Answer:

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Step-by-step explanation:

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Step-by-step explanation: i just completed the unit practice test and got 100%

Write the constant term in 5a3b + 2ab2 + 3.

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Answer:

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The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
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69.7
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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[tex] \frac{3x + 4}{2} = 9.5[/tex]

Answers

Answer: 5

Step by step:

(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

What is the mode for the set of data? 6,7,10,12,12,13

10
12
13
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Answers

12
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The angle that is an alternate interior angle with angle 1 is angle ?

Answers

Answer:

the alternate angle is angle 2

Answer:

2

Step-by-step explanation:

Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.

Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =

Answers

Answer:

2 x (5 x 6)

Step-by-step explanation:

When you switch the order around this way it comes out the same

5 x (2 x 6) -> 5 x (12) -> 60

2 x (5 x 6) -> 2 x (30)-> 60

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months

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Answer:

Answer is wrong

Step-by-step explanation:

Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.

In fact, most of the answers for this portion are wrong on here.

10.  $1,201.33

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Answer:

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Step-by-step explanation:

I like ice cream :D

Answer:

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have a great day!

Step-by-step explanation:

What does acosd mean?​

Answers

Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:


A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

Answers

the answer is 6

your welcome!

lol

Answer:

6

Step-by-step explanation:

(●'◡'●)

g(n) = n + 2; Find g(6)

Answers

Answer:

g(6)=8

Step-by-step explanation

they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2

g(6)=8

The graph below shows the hours students spent studying and their language arts test scores.

Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).

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Answers

Answer:

cccc

Step-by-step explanation:

it is correct on edge

The expected test score for a student who did not study is 40.

Option C is the correct answer.

We have,

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= (80 - 60)/(5 - 2.5)

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= 8

The slope of the line is 8, which indicates that for every additional hour spent studying, the test score increases by 8 points.

Since we are looking for the expected test score for a student who did not study (0 hours spent studying), we can substitute x = 0 into the equation of the line to find the corresponding y value (test score).

y = mx + b (where m is the slope and b is the y-intercept)

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The equation of the line is y = 8x + 40.

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y = 8(0) + 40

y = 0 + 40

y = 40

Thus,

The expected test score for a student who did not study is 40.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)

A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Answers

Answer:

1. 78%

2. 16

Step-by-step explanation:

35 + 10 = 45

Danny got 35/45 answers correct.

Divide 35 into 45

35 ÷ 45 = .777777778

.777777778 ≈ .78

To convert a decimal to a percentage, move the decimal point two spaces behind.

.78 = 78%

Danny got 78% of the answers correct.

80% = .8 = [tex]\frac{8}{10}[/tex]

Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer

[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]

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[tex]\frac{160}{10}[/tex] = 16

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3 + 2x=-6x + 4
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1. 1/8. 2. 1/8. 3. 1/8.

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Answers

The new cost of the trailer, with the 16% discount, is $1,529.15. If you multiply 1,799 by .85 (as with the discount applied, you are paying 85% of the original cost), you would be $1,529.15.

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What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

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You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

Answers

Answer:

B. That the weight data is more variable than the height data.

Step-by-step explanation:

Given that :

_________ Weight _____ Height

Mean ___ 160 pounds ___ 66 inches

SD _____ 30 pounds ____ 4 inches

The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.

Weight in pounds :

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Height in inches :

Standard deviation in inches / mean in inches

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(GIVING BRAINLIEST!!)

Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.

Answers

Answer:

when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float

Step-by-step explanation:

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Answers

Answer:

17 I'm pretty sure.

Step-by-step explanation:

−5 −4 −3 −2 −1
0
1
2
3 4
5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
3 + 5 = 8
If you are adding two negative integers, the sum will be negative.
-3 + (-5) = -8
If you are adding a negative integer and a positive integer, find the difference of the
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-3 + 5 = 2
-3 6
5 , so the sum is positive.
Paula dives into a swimming pool from a diving board 2 feet above the
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How far is Paula from the surface of the water?
1. What integer represents Paula’s starting height above the water?
2. What integer represents the total distance Paula descends?
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the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
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into the water. Where does your arrow end?

Answers

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Step-by-step explanation:

What are the solutions to the following system?
-2x²+y=-5
y=-3x2+

Answers

Answer:

Simplifying

y = -0.4 + 0.6x

Step-by-step explanation:

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Step-by-step explanation:

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the answer is c .............

Pine trees and juniper trees are common to the San Bernardino

mountains. Pine trees have a mean height of 52 meters with a

standard deviation of 3 meters. Juniper trees have a mean

height of 22 meters with a standard deviation of 5 meters.

(a) At the base of a trail, there is a 48-meter-tall pine tree and a

33-meter-tall juniper tree. Calculate the Z-score for each of

these trees.

If necessary, round your answers to the nearest 2 decimal

places. Write both answers in the text box below.

Answers

Answer:

Z-score = 0.9450

Step-by-step explanation:

Step(i):-

 mean height of pine tree (x₁⁻) = 52

standard deviation of pine tree σ₁ = 3

Mean height of Jupiter tree ((x₂⁻) = 22

standard deviation of Jupiter tree  σ₂ = 5

Size of first sample n₁ = 48

size of second sample n₂ = 33

Step(ii):-

Z-score

               [tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]

              [tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]

             Z = 0.9450

             

             

             

what is 2x + y = -14 in slope intercept form?

Answers

Answer:

 y = -2x - 14

Step-by-step explanation:

Slope intercept form: y = mx + b

2x + y = - 14

      y = -2x - 14

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