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
zlopas [31]
4 years ago
5

The safety instructions for a 20 foot ladder say the ladder should not be inclined more than 70 degrees with the ground. suppose

a ladder is leaned against a house at this angle. What is the distance of the base of the house to the foot of the ladder?

Mathematics
1 answer:
Romashka [77]4 years ago
4 0

Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet

Step-by-step explanation:

The scenario is shown in the attached photo.

Right angle triangle ABC is formed when the ladder leans against the wall of the house.

AC = the height of the ladder

AB = x feet = distance of the base of the house to the foot of the ladder

BC is the wall of the building.

To determine x, we will apply trigonometric ratio

Cos # = adjacent/hypotenuse

Where

# = 70 degrees

Hypotenuse = 20

Adjacent = x

Cos 70 = x/20

x = 20cos70

x = 20 × 0.3420

x = 6.84 feets

You might be interested in
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
marshall27 [118]

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

4 0
3 years ago
Please answer my question
Anon25 [30]

1) isolate

2a) opposite

2b) sign

1) delete

2a) flip

2b) reciprocal

Rate <u>BRAINLIEST</u>

8 0
3 years ago
Read 2 more answers
What is 892 to the nearest 100
Olegator [25]
I’m pretty sure This rounds to 900
3 0
4 years ago
Read 2 more answers
After paying a $10 admission fee, you walk into a carnival. A sign reads "$3 per ride". When your parent picks you up, they aske
alina1380 [7]

9514 1404 393

Answer:

  10+3x=52

Step-by-step explanation:

If you went on x rides, your cost for the rides is 3x. That added to the $10 admission fee gives you the total you spent:

  3x+10=52

8 0
3 years ago
A recipe calls for 2 cups of flour to make 24 cookies. Write and solve a proportion to find how much flour is needed to make 54
horrorfan [7]
For the answer to the question above,
when you put it into a proportion it would be 2/24 = x/54  
multiply 2 and 54 which equals 108 
and multiply 24 and x which equals 24x
so you have 24x=108       divide 24x by 24 so you have x standing alone but what you do to one side you have to do to the other so divide 108 by 24 and get 4.5 which is 4 1/2 cups of flour. 
So the answer is<span> 2/24 = x/54; x = 4 1/2 cups</span>
8 0
3 years ago
Other questions:
  • PLS HELP!!!!!!!<br> How is the degree of a polynomial related to the concept of complex numbers?
    14·2 answers
  • Liu deposited $3500 into a savings account 2 years ago. The simple interest rate is 4%. How much money did Lui earn in interest?
    7·2 answers
  • Ronny and Johnny were getting ready for school. Ronny was the only one that had money to spend though, as Johnny spent 30 dollar
    7·2 answers
  • What is the value of x for which<br>3/4=x/12​
    11·1 answer
  • How do nurses utilize a quadratic equation and example
    14·1 answer
  • 2 + 3y = 33<br>3.x - 2y = 0​
    8·1 answer
  • Which of the following is in standard form of quadratic? f(x)=-5x^(2)-3x+9 f(x)=-5(x+4)(x-2) f(x)=-5(x-1)^(2)+6 f(x)=2x-8
    10·2 answers
  • Help help help help help
    14·1 answer
  • Please Help ASAP 20pts
    13·1 answer
  • Determine the domain and range of (g ○ f)(x) if f(x)=2/x^2 -1 and g(x)=x+1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!