40) A 10 ft. ladder positioned against a house makes a 65 degree angle with the ground. How far away
from the house is the base of the ladder?
A. 4 feet
B. 6 feet
C. 9.06 feet
D. 4.22 feet

Answers

Answer 1

Answer:

Distance of ladder from base = 4.22 feet (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 10 feet

Angle with ground = 65°

Find:

Distance of ladder from base

Computation:

Length of ladder (hypotenuse) = 10 feet

Distance of ladder from base (Base)

Using trigonometry function

Cosθ = Base / Hypotenuse

Cosθ = Distance of ladder from base / Length of ladder

Cos65 = Distance of ladder from base / 10

0.4226 = Distance of ladder from base / 10

Distance of ladder from base = 0.4226 x 10

Distance of ladder from base =  4.226

Distance of ladder from base = 4.22 feet (Approx.)


Related Questions

Fast problem! Please help

Answers

Answer:

D. 122 degrees

Step-by-step explanation:

The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).

The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).

Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

Answers

[tex]25,28,32,37,43,50,58,67.[/tex]

[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

What part of the circle is shown in purple?

Answers

Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

How do you find the area of a circle???

Answers

Answer:

The area of a circle is pi times the radius squared.

[tex]A=\pi r^2[/tex]

-----------------------

hope it helps...

have a great day!!

A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?

Answers

Answer:

168

Step-by-step explanation:

number that prefer four-door cars = percentage of car owners that prefer  four-door cars x total number of people surveyed

56% x 300

0.56 x 300 = 168

A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called...

Answers

Answer:

an observational study.

Step-by-step explanation:

An observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

In this scenario, a sociologist reviews and analyzes a public park surveillance videos that were randomly selected over a period of several years. From the data obtained, he records the amount of time people spent on a smartphone. Thus, the statistical procedure the sociologist used is called an observational study because he doesn't interfere or manipulate the surveillance video containing information about the amount of time people in the public park spent on their smartphone.

Additionally, an unobtrusive data collection is a data collection technique used mainly in the social sciences to obtain or gather data without the researcher directly interfering or interfacing with the subject being studied. Thus, it doesn't influence the behavior, action or response of the subjects under study.

The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

Answers

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

To learn more about subset from the given link :

https://brainly.com/question/23454979

#SPJ1

This is my first time using Brainly I don't know if I'm doing this correctly.

Answers

Answer:

x = -3

Step-by-step explanation:

hello and welcome to brainly!

so in the hint it pretty much gives you the equation x=-b/2a

the standard form of a quadratic equation is f(x) = ax^2+bx+c

so we look at the equation we have and we can see that a=-2 and b=-12

we substitute this into the axis of symmetry equation

x= -(-12) / 2(-2)
simplify
x=12/-4
simplify further
x=-3

How do you find the area of a triangle? Is it base x height divided by 2???

Answers

Answer:

yes  The area of a triangle is b x h / 2 (base times height divided by 2)

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{\frac{b*h}{2}}[/tex]

You should be correct.  

»»————- ★ ————-««  

Here’s why:  

The given formula for a triangle is similar to the formula for area of a square or rectangle. A triangle is basically a 'half-rectangle'.

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a triangle:}}\\\\A = \frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\rightarrow \text{B - Base}\\\\\rightarrow \text{H - Height}[/tex]

⸻⸻⸻⸻

The area of a triangle is the half the product of the base and height of the triangle.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Please help ill make you the brainiest(please no link people)

Answers

the answer to this should be C

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5

Answers

second graph

explanation:
1. they both are increasing so only graph 1 & 4 fits
2. the y-intercept of y=x+5 is 5 so it’s graph 2

Answer:

The first picture with the (1,6)

Step-by-step explanation:

If you plug in the numbers in the equations you will see that they both equal 6.

6=4(1)+2

6=4+2

6=6

6= (1)+5

6=6

The first positive angle between the initial and terminal arm of an angle in standard position is called the​

Answers

Answer:

The initial arm of an angle rotates to its terminal position, either in a positive, counterclockwise direction or a negative, clockwise direction. The principal angle is the first positive angle less than 360°.

The positive angle formed when an angle is in a standard position is called principal angle.

An angle is formed at the point where two or more lines meet.  And it is said to be in a standard position if its edge is located at to the origin with its initial arm in line with the horizontal axis. The initial arm of an angle is the side with which the angle is measured from, while the terminal arm is the side on which the measure of an angle terminates. Thus, angles are normally measured from there initial arm to the terminal arm.

Therefore, the first positive angle formed between the initial and terminal arm of an angle in a standard position is usually called the principal angle.

A sketch for more clarifications is herewith attached to this answer.

Reference: https://brainly.com/question/21074748

Helpppppppppp /:;.:;(???()((;;

Answers

Answer:

721.64

Step-by-step explanation:

32.7*26.3=860.01

13.7*10.1=138.37

860.01-138.37=721.64

721.64 mi^2

Step-by-step explanation:

Area of the large rectangle A2 is

A2 = (32.7 mi)(26.3 mi) = 860.01 mi^2

Area of the small rectangle A1 is

A1 = (10.1 mi)(13.7 mi) = 138.37 mi^2

Therefore, the area of the shaded region is simply the difference between A2 and A1:

Area (shaded) = A2 - A1

= 860.01 mi^2 - 138.37 mi^2

= 721.64 mi^2

how do i find the unit rate?

Answers

Answer:hgfjiughhitfi

Step-by-step explanation:

R5ztrxtfchhgtu

Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB​

Answers

Answer:

50

Step-by-step explanation:

I assume you are asking how much she EARNS after 2 years.

500x.-5=25 interest per year

25 x 2 years = 50 interest for 2 years.

how is energy involved in the process of mountains shaping the earths surface?

Answers

Answer:

movement in the tectonic plates in the crust, wind and water erosion, and deposition shapes the earth's surface

Step-by-step explanation:

Answer:

Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.

Step-by-step explanation:

(windows2universe.com) source

HELPPPP!!!!! Please

Answers

Answer:

180 D

Step-by-step explanation:

2/5 + 2/5

Help my sister

Answers

Answer:

4/5

Step-by-step explanation:

for this problem you just add across so it would be 2+2= 4 but you don't add 5+5 because their the same number

Which is grater and I don’t need any links please and thank you

Answers

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

Will mark brainliest ❤️

Answers

Answer:

The answer is A

Step-by-step explanation:

Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps

Please help I will give brainliest to whoever gets it correct first!

Answers

Answer:  (-8)*(-8)*(-8)*(-8)*(-8)*(-8)*(-8)

While this may look like it's a lot to keep track of, its not too bad. We have 7 copies of (-8) in total. The 7 copies due to the exponent of 7. Nice work on getting the correct answer for the second part.

-----------

A further detailed breakdown:

(-8)^3 is the same as (-8)(-8)(-8) so we have three copies here

(-8)^4 is the same as (-8)(-8)(-8)(-8) and we have four copies

Overall, we have 3+4 = 7 copies total.

In isosceles trapezoid LMNO, the measure of Z Mis Select... V
50°
L
M
(2x + 20°
(4x - 10)
110°
350
o
N
60°

Answers

Answer:

45degrees

Step-by-step explanation:

Find the diagram attached

From the diagram m<L = m<O

GIven

m<L = 2x+20

m<O = 110degres

Equate

2x+20 = 110

2x = 110 - 20

2x = 90

x = 90/2

x = 45degrees

Hence the value of x is 45degrees

please help (picture)

Answers

A = 360 cm^2

Step-by-step explanation:

Using Pythagorean theorem, the length AB is given by

AB^2 = 17^2 - 8^2 = 225 cm^2

or

AB = 15 cm

Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm

so the length BD is

BD = BC + CD = 8cm + 16 cm = 24 cm

There the area of the rectangle is

A = AB×BD

= 15cm×24cm

= 360 cm^2

The answer is 320 hop this help you for your word

Please help ASAP
Select the correct answer.
A number is selected at random from the set ( 2,3,4,...10). Which event, by definition, covers the entire sample space of this experiment
A) The number is greater that 2.
B) The number is not divisible by 5.
C) The number is even or less that 12.
D) the number is neither prime nor composite.
E) The square root of the number is less than 3.

Answers

Answer:

A

Step-by-step explanation:

Nine times a number, subtracted from the square of the number, is 36. Find the two numbers.

Answers

Answer:

- 3 and 12

Step-by-step explanation:

let n be the number , then

n² - 9n = 36 ( subtract 36 from both sides )

n² - 9n - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)

The factors are - 12 and + 3 , since

- 12 × 3 = - 36 and - 12 + 3 = - 9 , then

(n - 12)(n + 3) = 0

Equate each factor to zero and solve for n

n - 12 = 0 ⇒ n = 12

n + 3 = 0 ⇒ n = - 3

The 2 numbers are - 3 and 12


Alden has two toys. One toy has a mass of 188 grams, and the other has a mass of 127 grams

Answers

whats the rest of the question?

Use 3.14 for π Round to the nearest 100th if necessary A ball has a diameter of 20 inches. What is its volume?

Answers

Answer:

4186.67 cubic inches

Step-by-step explanation:

Volume of a sphere = 4/3 π r³

π = 3.14

Diameter = 20 inches

Radius = r = Diameter/2 = 20 inches/2 = 10 inches

Volume of the sphere = 4/3 × 3.14 × (10 inches)³

Volume of the sphere = 12560 ÷ 3

= 4186.6666667 cubic inches

Approximately to the nearest hundredth = 4186.67 cubic inches

Therefore, the volume of the ball is 4186.67 cubic inches.

What are the coordinates for point A?

Answers

Answer:

they are (3,4)

Step-by-step explanation:

2
v
What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?

Answers

Answer: [tex]y=-4x-6[/tex]

Step-by-step explanation:

Given

The equation of line is [tex]y=-4x-3[/tex]

The line which is parallel to the given line is [tex]y=-4x+c[/tex]

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

[tex]\therefore y=-4x-3-3\\\Rightarrow y=-4x-6[/tex]

HELP
Find the slope between the two points (6,-3) (7,2)

Answers

Answer: The slope is 5

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

hope this helps!

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