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
Darya [45]
3 years ago
10

A 13.5-meter ladder leans against a brick wall and the ladder makes a 75∘ with the wall. The distance d the ladder goes up the w

all is -- meters. Round your answer to the nearest tenth.

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0

Answer:

3.5 m

Step-by-step explanation:

Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.

Length of ladder = the hypothenuse = 13.5 m

Thus, we would use:

Cos75 = adjacent/hypothenuse

Cos 75 = d/13.5

Multiply both sides by 13.5

13.5*cos(75) = d

13.5*0.2588 = d

3.4938 = d

d ≈ 3.5 m (nearest tenth)

You might be interested in
What is the rate of change
kow [346]
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
3 0
2 years ago
Read 2 more answers
21 is 20% of what number
Ksenya-84 [330]

Answer:

21 is 20% of 105

Step-by-step explanation:

20% * x = 21

20/100 * x = 21

x = 21 * 100/20

x = 105

If you are using a calculator, simply enter 21×100÷20, which will give you the answer.

6 0
3 years ago
Read 2 more answers
a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
Assoli18 [71]

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

6 0
3 years ago
Find an equivalent expression to 3(4m-2)-2(m+5)
Anuta_ua [19.1K]
3(4m-2)-2(m+5)

Distribute. 

12m-6-2m-10

12m-2m= 10m

-6-10= -16

10m-16

I hope this helps!
~kaikers
3 0
3 years ago
If Melanie spins this spinner 1000 times, approximately how many times will it land on blue?
klemol [59]

Answer:

it would be 500

Step-by-step explanation:

since blue is covering 50% of the circle than the probability of it landing on blue is 50% and 50% of 1000 is 500

5 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 98 and the difference between them is 48. find the two numbers.
    7·1 answer
  • 5c + 2a − b; a = 5, b = 11, and c = 3
    11·2 answers
  • Fill in the missing term x^10 = _____ • x^8
    7·1 answer
  • :Which graph shows the solutions the following inequality?:<br> 4d - 6 &lt; 18
    8·2 answers
  • Y= -3x^3+17x^2-10x
    14·2 answers
  • The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for thi
    10·1 answer
  • PLEASE ANSWER THIS QUESTION RIGHT AND THE ANSWER CHOICES ARE IN THE TOP Elize is scuba diving in plans to leisurely Ascend to
    7·1 answer
  • Help this is due by midnight
    10·2 answers
  • A commuter train travels 45 miles in 34 minutes. What is its speed in miles per hour?
    7·1 answer
  • Points!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!