Question

A ladder of lent 8.1 m is propped on an horizontal ground against the vertical wall with his bottom end at a distance of 1.6 m from the wall how I up the wall is the top end. Give your answer in one decimal place.

likes

275 views

Answer to a math question A ladder of lent 8.1 m is propped on an horizontal ground against the vertical wall with his bottom end at a distance of 1.6 m from the wall how I up the wall is the top end. Give your answer in one decimal place.

$Expert avatar$

Hermann

4.6

127 Answers

**

1. Set up the equation using the Pythagorean theorem:

h^2 + 1.6^2 = 8.1^2

2. Solve for $ h $ by rearranging terms:

h^2 = 8.1^2 - 1.6^2

3. Calculate each square:

8.1^2 = 65.61

1.6^2 = 2.56

4. Subtract to find the square of the height:

h^2 = 65.61 - 2.56 = 63.05

5. Find the square root to solve for $ h $:

h = \sqrt{63.05} \approx 7.9

6. Therefore, the top end of the ladder reaches approximately 7.9 meters up the wall.

Frequently asked questions (FAQs)

What is the graph of the exponential function y = 2^x? Is it increasing or decreasing? Describe its behavior as x approaches positive and negative infinity.

What is the speed of a car that travels a distance of 250 kilometers in 2.5 hours?

What is the measure of an angle bisected by a line that intersects the opposite side and divides it into segments in the ratio of 3:4?

New questions in Mathematics

Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0

8x²-30x-10x²+70x=-30x+10x²-20x²

3(4×-1)-2(×+3)=7(×-1)+2

A company is wondering whether to invest £18,000 in a project which would make extra profits of £10,009 in the first year, £8,000 in the second year and £6,000 in the third year. It’s cost of capital is 10% (in other words, it would require a return of at least 10% on its investment). You are required to evaluate the project.

Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.

I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?

Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2

Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements

The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?

A circular window has a rubber molding around the edge. If the window has a radius of 250 mm, how long is the piece of molding that is required ? (To the nearest mm)

From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539

On+January+10+2023+the+CONSTRUCTORA+DEL+ORIENTE+SAC+company+acquires+land+to+develop+a+real estate+project%2C+which+prev%C3% A9+enable+50+lots+for+commercial+use+valued+in+S%2F+50%2C000.00+each+one%2C+the+company+has+as+a+business+model+generate+ cash+flow+through%C3%A9s+of+the+rental%2C+so+47%2C+of+the+50+enabled+lots+are+planned to lease+47%2C+and+ the+rest+will be%C3%A1n+used+by+the+company+for+management%C3%B3n+and+land+control

During a month's time, an automobile sales person receives a 6% commission on the first $5000 in sales, a 7% commission on the next $5000 sales, 8% commission on anything over $10,000. What is her commission for $36,000 in sales?

Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0

Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|

2x-4=8

Identify the slope and y intercept y=11+2/3x

A nondegenerate ideal gas of diatomic molecules with a kilomolar mass of 2 kg/kmol and a characteristic rotational temperature of 86 K is adsorbed on the walls of a container, where the binding energy is 0.02 eV. The adsorbed molecules move freely on the walls, and their rotation is confined to the plane of the walls. Calculate the surface density of adsorbed molecules at 12 K if the gas pressure is 103 Pa! What result would you get at 68 K and the same pressure?

draw the condensed formula fpr 3,3,4 triethylnonane

5a-3.(a-7)=-3

A ladder of lent 8.1 m is propped on an horizontal ground against the vertical wall with his bottom end at a distance of 1.6 m from the wall how I up the wall is the top end. Give your answer in one decimal place.

Answer to a math question A ladder of lent 8.1 m is propped on an horizontal ground against the vertical wall with his bottom end at a distance of 1.6 m from the wall how I up the wall is the top end. Give your answer in one decimal place.

You might be interested in