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
LuckyWell [14K]
2 years ago
13

1) An indoor staircase has a 12 inch vertical rise per step to get to the second floor of the house. If the angle of elevation i

s 41 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?


b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).

Mathematics
1 answer:
prohojiy [21]2 years ago
6 0

The landing space per step is 14 inches while the vertical rise is 13 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

From the question:

Angle of elevation = 41°

Let d represent the landing space per step, hence using trigonometric ratio:

tan(41) = 12 inches / d

d = 14 inches

Also, let h represent the vertical rise, hence:

tan(41) = h / 15 feet

h = 13 feet

The landing space per step is 14 inches while the vertical rise is 13 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

You might be interested in
Y = mx + b solve for m (literal equations)
Lerok [7]
Y = mx + b...subtract b from both sides
y - b = mx...now divide both sides by x
(y - b) / x = m
7 0
3 years ago
which of the following cannot be the probality of an event a)1/2 b) 10% c) 0.7. d) 3/2. which is the correct option with the sol
prisoha [69]

Answer:

D

Step-by-step explanation:

In probability,

a probability of 0 means that it is IMPOSSIBLE, sure that this event WILL NOT occur, ever. So, probability of anything less than 0 is not possible.

On the other hand, probability of 1 means that it is CERTAIN to happen. So, probabilty of anything greater than 1 can't happen.

So we can say:

0 <= Probability of an Event happening <= 1

Option A is 1/2, which is in the middle, so this is OKAY.

Option B is 10%, which is certainly close to 0 and between 0 and 1, so this is OKAY.

Option C is 0.7, which is close to 1 and greater than 0, so in between 0 and 1, certainly. So this is OKAY.

Option D is 3/2 which is 1.5, so this is GREATER THAN 1, so it can't ever be possible.

Option D is the correct choice.

4 0
3 years ago
Find the length of side AC. <br> A) 5 3 <br> B) 5 2 <br> C) 10 2 <br> D) 5 2 2
AysviL [449]

Answer:

Post a picture or give the angles/numbers to me so that i can solve this for you.

5 0
3 years ago
Katie ran 11.1 miles over the last three days. How many miles did she
Yuki888 [10]

Answer:

3.7 miles per day

Step-by-step explanation:

6 0
3 years ago
In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

5 0
3 years ago
Other questions:
  • What is the value of x
    6·2 answers
  • Please help i need to get this done by tomorrow
    10·2 answers
  • Please help I really need help on this
    6·2 answers
  • What is 0.00892857142 as a fraction
    14·2 answers
  • Can someone please simplify this for me?<br> 63 ÷ 3 2 + |2|
    9·2 answers
  • The tree diagram below shows the sizes and colors of shirts sold at a store. How many different choices of shirts does the store
    8·2 answers
  • What is 3.01 and 2/3 as a decimal
    11·2 answers
  • Evaluate the expression for the given values: 2x^2 _8xy+3y^2 for x = -3 and y = 2
    15·1 answer
  • Michael earns 20% commission on his total sales at work.
    12·1 answer
  • F(x)=4x^2+2x-6.find the range of function f(x).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!