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

solve
[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

(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:

You work for a landscaping company and need to purchase a new trailer. The original price of the model you are looking at is $1,799, but the trailer is currently on sale for 15% off.

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.

You could also multiply .15 by $1,799, you get 269.85 (which is the discount with the sale). Subtract this value from 1799 and you would get the current price of the trailer (above)

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]

Simplify

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

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

Answers

Answer:

a i guess there isnt a queston here

Step-by-step explanation:

Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)

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

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.

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

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:

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

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).

Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45

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,

Given that the line on the graph passes through the points (2.5, 60) and (5, 80), we can use this information to estimate the expected test score for a student who did not study.

Let's calculate the slope of the line using the two given points:

Slope = (change in y)/(change in x)

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

= 20/2.5

= 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)

Using the given points, we can find the y-intercept (b) by substituting one of the points into the equation:

60 = 8(2.5) + b

60 = 20 + b

b = 60 - 20

b = 40

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

Now, substitute x = 0 into the equation to find the expected test score:

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

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

−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
absolute values. The sum will have the sign of the addend with the greater absolute value.
-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
water’s surface. She descends to a depth 7 feet below the diving board.
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?
3. Write an addition expression to represent Paula’s distance below
the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
height above the water. Draw an arrow to represent Paula’s dive
into the water. Where does your arrow end?

Answers

Answer: /21/7/3

Step-by-step explanation:

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]

A decrease of 250 attendees

Answers

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  

help in dying please​

Answers

Answer:

hello! :) i hope your having a wonderful day :)

Step-by-step explanation:

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

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:

extra poing again happy thanks giving

Answers

Answer:

Thanks for points :)

Step-by-step explanation:

I like ice cream :D

Answer:

TY!! :)

have a great day!

Step-by-step explanation:

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

Answers

Answer:

the answer will be this

please help. image below

Answers

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

Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Answers

1. 1/8. 2. 1/8. 3. 1/8.


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:

(●'◡'●)

Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole

Answers

Answer:eita moçaa

Stedssfsdsvbg´xclmvb´zdmfbhd

da

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

             

             

             

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
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us

Answers

Answer:

the answer is c

Step-by-step explanation:

because all the other ones are wrong besides d and c and I did the math and it was c

Answer:the answer is d

Step-by-step explanation:

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

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

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 :

Standard deviation in pounds / mean in pounds

30 / 160 = 0.1875

Height in inches :

Standard deviation in inches / mean in inches

4 / 66 = 0.060

0.1875 > 0.060

Hence, weight data is more variable than height data.

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

10
12
13
11

Answers

12
because it is the only number that appears more than once which is basically the definition of mode.

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

Answers

Answer:

8+12+164

Step-by-step explanation:

pls help me with the question?​

Answers

Answer:

17 I'm pretty sure.

Step-by-step explanation:

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

Answers

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

11.  $629.23

12. $7.74

13. $347.51

14. $3,753.78

15. 6

16. $25.24

17. $416.70

18. $2,903.67

19. $22.96

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