Mr. Jackson has just finished building his treehouse and still needs to buy a ladder to be attached to the ledge of the treehouse and anchored at a point on the ground, as modeled below. Mr. Jackson is standing 1.3 meters from the stilt supporting the treehouse. This is the point on the ground where he has decided to anchor the ladder. The angle of elevation from his eye level to the bottom of the treehouse is 56 degrees. Mr. Jackson's eye level is 1.5 meters above the ground. Determine and state the minimum length of a ladder, to the nearest tenth of a meter, that Mr. Jackson will need to buy for his treehouse. (do not round until the very end)
Answers
Answer:
The length of the ladder Mr. Jackson will need to buy for his treehouse is approximately 3.7 meters
Step-by-step explanation:
The parameters given in the question are;
The horizontal distance from the point Mr. Jackson has decided to anchor the ladder to the the stilt supporting the tree house = 1.3 meters
The angle of elevation from Mr. Jackson's eye level to the bottom of the treehouse = 56°
The height of Mr. Jackson's eye level from the ground = 1.5 meters
From the question, we can draw the geometry of the ladder attached to the treehouse using Microsoft Visio as shown in the attached diagram
From the diagram, by trigonometric ratios, we have;
tan(56°) = a/1.3
∴ a = 1.3 × tan(56°) ≈ 1.927
By Pythagoras' theorem, we have;
The length of the ladder = √((a + b)² + 1.3²)
From the drawing, b = 1.5 m
Therefore, we have
The length of the ladder = √((1.927 + 1.5)² + 1.3²) ≈ 3.6653
The length of the ladder without rounding = √((1.3 × tan(56°) + 1.5)² + 1.3²) = 3.66559488352
∴ The length of the ladder given to the nearest tenth of a meter ≈ 3.7 m
The length of the ladder Mr. Jackson will need to buy for his treehouse ≈ 3.7 m.
Related Questions
PLEASE HELP ME PUT THEM IN ORDER
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Answer
picture below of order. Not entirely
Step-by-step explanation:
Much help is needed________
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Answer:
it is 14
Step-by-step explanation:
Answer:
C) 14
Step-by-step explanation:
Volume of a Sphere:
V = 4/3πr³
V = 4/3(3.14)1.5³
V = 4/3(3.14)3.375
V = 14.13
14.13 ≈ 14
Practice Problems
1)
Chase is comparing music subscription prices. A 12-month subscription with All Ears costs
$91.80 and a 3-month subscription with Press Play costs $19.35. Which service costs less per
month?
Answers
Step-by-step explanation:
[tex]91.8 \div 12 = 7.65 \\ 19.35 \div 3 = 6.45[/tex]
3 months
Compare each set of rational numbers.
Answers
HELP ME UNSCRAMBLE THESE WORDS PLEASE!!! IGNORE THE SUBJECT I JUST DIDN'T KNOW WHAT TO PICK!! THANK YOU LOVELIES!!!
Answers
1) Play
2)Dribble
3)Paint
4)Center
5)Assists
6)Perimeter
7)Benchwarmer
8)Aboard
9)Technical
10)Rebound
11)Penalty
12)screen
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14)guard
15)? Host
16)Quarter
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Help tell me about scatter plots please!!!
Answers
Answer: i don’t know what that is
Step-by-step explanation:
find the area of this polygon
Answers
Answer:
answer is 65 in²
hope this helps
A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square
Answers
Answer:
[tex]x= 3.5[/tex]
Step-by-step explanation:
Given
[tex]k =1:4[/tex] --- scale factor
See attachment for squares
Required
Find x
The corresponding side of length x on the bigger square is 14.
So, we have:
[tex]k = x : 14[/tex]
Equate both values of k
[tex]x : 14 = 1 : 4[/tex]
Express as fractions
[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]
Solve for x
[tex]x= \frac{1 }{ 4} * 14[/tex]
[tex]x= \frac{14}{4}[/tex]
[tex]x= 3.5[/tex]
(11m-7m)-(2m+6m) the sum or differce
Answers
Answer:
-4m
Step-by-step explanation:
=11m-7m-(2m+6m)
=11m-7m-8m
=-4m
plz mark me as brainliest
Answer:
-4m
Step-by-step explanation:
Hey!
==================================================================
First, We should remove the Parentheses.
To remove them, we distribute the negative over (2m + 6m).
⇒ 11m - 7m - (2m + 6m)
⇒ 11m - 7m - 2m - 6m
Work the Problem from Left to Right.
⇒ 4m - 2m - 6m
⇒ 2m - 6m
⇒ -4m
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
What is the result of subtracting the second equation from the first ? -7x-y=0 and 7x+8y=-6
Answers
Answer:
- 14x - 9y = 6
Step-by-step explanation:
- 7x - y = 0 → (1)
7x + 8y = - 6 → (2)
Subtracting (2) from (1) term by term
- 7x - 7x - y - 8y = 0 - (- 6)
- 14x - 9y = 0 + 6
- 14x - 9y = 6
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answers
Answer:
c or d sorry if I'm wrong
Step-by-step explanation:
I think it's your d because of the shortest answers and they're the only two that makes sense
In 3^6, 6 is called ___.
base
exponent
Answers
Step-by-step explanation:
the correct answer is exponent because 6 is its power.
hope this answer will help u.
have a great time.
What’s the opposite of -5/8
Answers
There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there
Answers
Answer:
pepperoni pizzas = 8
cheese pizzas = 4
Step-by-step explanation:
let x = cheese pizza
2x + x + 1 = 13
3x = 13 -1
3x = 12
x = 4
pepperoni = 2x4 = 8
If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?
Answers
Answer:
$36
Step-by-step explanation:
Given :
Interest rate, r = 8% = 0.08
Principal, P = 150
Time, t = 3 years
Simple interest = (principal * rate * time)
Simple interest = (150 * 0.08 * 3)
Simple interest = $36
here are the options
∠2and∠4
∠1and∠5
∠3and∠6
Answers
Answer:
∠1and∠5
Step-by-step explanation:
Hello There!
The image shown below shows an example of what corresponding angles look like
Properties of corresponding angles
Must be on the same side of the transversalMust be congruentangles 2 and 4 are on the same side of the transversal however they are supplementary angles not congruent
angles 2 and 4 are an example of adjacent angles therefore this is not the answer
angles 1 and 5 are on the same side of the transversal and they are most definitely congruent
This might be our answer but lets check the last answer just to be sure
Angles 3 and 6 are congruent but they are not on the same side of the transversal
angles 3 and 6 are an example of alternate interior angles therefore this is not the correct answer
So we can conclude that angles 1 and 5 are corresponding angles
NO LINKS!!! PLEASE!
You score an 86 on the first of two exams. Write and solve an equation to find the score (x) that you need on the second exam to have a mean score of 90.
Answers
Answer:
x = 94
Step-by-step explanation:
(86 + x)/2 = 90
86 + x = 180
x = 94
PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
Answers
The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number
Answers
Answer:
5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
We rerange the number in 1,2,3,4,9,12,13
The median is 4, and a number x between 4 and 9.
We have 4.5 for median, which is the average of 4 and x.
(4 + x) /2 = 4.5
4 + x = 9
x = 5
Find sin(a) in the triangle.
Choose 1 answer:
Answers
Answer:
5/13
Step-by-step explanation:
Find the diagram to the question attached
Given the following considering angle A
Hypotenuse = 13 = AB
Opposite = 5 (side facing the angle A) = BC
Adjacent = 12
According to SOH CAH TOA;
Sin theta = opposite/hypotenuse
Sin(a) = BC/AB
Sin(a) = 5/13
Hence the value of sin(a) is 5/13
What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?
A. 1/2
B. 1/3
C. 1/4
D. 1/6
Answers
Answer:
1/4
Step-by-step explanation:
How do you do these? I'm not sure on how to solve these and what to do to solve them.
Answers
Answer:
c) 59.6516 miles
d) 158.503 quarts, 64.3738 km
Jacob wrote the expression shown. 10 + 5 + 4(72-6) What do these parentheses indicate in the expression? F Divide 10 by 5 before adding 4 G Multiply 4 by 72 before subtracting 6 H Add 5 and 4 together before subtracting 6 from 72 Subtract 6 from 72 before multiplying by 4
I will give brainliests
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price marked at R85 with VAT included
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Answer: No image? Incomplete question? FREE POINTS!
Step-by-step explanation:
BRAINLIEST PLEASE!
Can someone pls help me ASAP I’ll give brainiest
Also show how u got the answer step by step pls
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X+1=3
X=3-1
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Find the surface area.
24 in.
40 in.
10 in.
26 in.
Answers
Answer:
100 i think
Step-by-step explanation:
Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!
Answers
Answer: n=4
Step-by-step explanation:
Given
3n-(2+n)=6
Expand Parenthesis (REMEMBER TO CHANGE SIGNS)
3n-2-n=6
Combine like terms
2n-2=6
Add 2 on both sides
2n-2+2=6+2
2n=8
Divide both sides by 2
2n/2=8/2
n=4
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4
Step-by-step explanation:
4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!
On a coordinate plane, what is the distance between the point at (8, 7) and the point at (-9, 7)?
Answers
Answer:
They are 17 units away from each other!
Step-by-step explanation:
Because they have the same y coordinate, this make us not have to do the formula. To find how far they are away, add the absolute value of each x coordinate. The answer is 17 units.
give me brainliest
The average speed of an airplane is 550 miles per hour Create an equation to represent the distance, d, in miles, that the airplane travels after t hours at the average speed.
Answers
Answer:
Step-by-step explanation:
1
Answer:
56
Step-by-step explanation:
i just is smart
yhhhhhhhhhhh
Susan paints a stack of 30 blocks in a pattern. Starting from the bottom, she paints every 3rd block red and every 5th block green. Wherever red and green land on the same block, she paints that block yellow.
The 3rd block from the bottom that is painted green is how many blocks up from the bottom?
Answers
Answer:
20 blocks
Step-by-step explanation:
