1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MArishka [77]
2 years ago
11

Mr. Jackson has just finished building his treehouse and still needs to buy a ladder to be attached to the ledge of the treehous

e 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)
Mathematics
1 answer:
motikmotik2 years ago
4 0

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.

You might be interested in
Lola spent $65.00 for 10 tickets to the
8_murik_8 [283]

Answer:a.yes b.yes c.no d. Yes

Step-by-step explanation: that should be correct

5 0
3 years ago
Pls help me answer this
igor_vitrenko [27]

Answer: 30 cm

Step-by-step explanation:

The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.

From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus \frac{1}{2} the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of  \frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3.

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is \frac{1}{2}(AJ + BK) \cdot AB. Thus the volume of the right prism is \frac{1}{2}(AJ + BK) \cdot AB \cdot AE. This gives us \frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600, and thus h = 30 cm.

3 0
1 year ago
I need Help???????????
Hunter-Best [27]
The answer is answer 2
3 0
3 years ago
Read 2 more answers
If Kaylee can type 408 words in 4 minutes, <br> how many words can she type in 24 minutes?
miv72 [106K]

Answer: When you divide 408 by 4 You will get 102.

Step-by-step explanation:

408/4 =102

I need Airtime

Nothing small

If you want to help me then message me through

Anyways I hoped I helped and if I didn't, well...

3 0
2 years ago
Read 2 more answers
Convert 165 pounds into kilograms.
Elenna [48]
Answer: D. 74.91

One pound is 2.205 kilograms, so we can find how many kilograms are in 165 lbs by dividing 165 by 2.02.
The answer is approximately 74.91
6 0
3 years ago
Other questions:
  • Which function in vertex from is equivalent to f(x)=x2+8-16x
    7·2 answers
  • Helppppp! Which answer choice correctly describes the relationship between two of the lines in the figure?
    8·2 answers
  • A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll
    8·1 answer
  • Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On an annual​ basis, the first s
    6·1 answer
  • Order each set of numbers from least to greatest. 0.23, 19%, 1/5
    6·2 answers
  • A newspaper reported the results of a survey on the planning habits of men and women. In response to the question​ "What is your
    12·1 answer
  • Evaluate the permutation. 6P2 15 30 36
    7·1 answer
  • Four dollars more than seven times Julie's amount of money.
    14·1 answer
  • NEED NOW PLEASE.......
    10·2 answers
  • You spin the spinner twice.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!