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
Anton [14]
2 years ago
7

a 12-ft ladder leans against a building so that the angle between the ground and the ladder is 74°. how high does the ladder rea

ch on the building? (round your answer to the nearest foot.)
Mathematics
1 answer:
WINSTONCH [101]2 years ago
8 0

Answer:

12 feet

Step-by-step explanation:

Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!

We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

sin\theta=\frac{opposite}{hypotenuse}

Plug in known values:

sin(74^o)=\frac{x}{12}

Rearrange to isolate the variable:

x=12sin(74^o)

Simplify!

x=11.535140... ft

Round to the nearest foot:

x=12ft

You might be interested in
Three divided by x equals .75 what is x
saveliy_v [14]
X = 4
3 divided by 4 = .75
4 0
3 years ago
Solve: <br> g/3+11=25<br> Thank you so much!
Fofino [41]
G/3 + 11 = 25

Multiply both sides by 3

3.(g/3) + 3 . 11 =  3. 25
 
g + 33 = 75

subtract 33 from both sides:

g = 75 - 33

g = 42
 
hope this helps :)


3 0
3 years ago
Read 2 more answers
Brandon is cutting 9 boards for a woodworking project. Each board is 4 5/8 feet long. What is the total length of the boards
storchak [24]
41.625 feet long because it is the product of 4 5/8*9
7 0
2 years ago
Read 2 more answers
PLEASE HELP! Identify the rule for the function table.
fgiga [73]
Hello!

You have to find what the rule is

12/24 = 0.5
6/12 = 0.5
 -6/-12= 0.5

They multiply x by 0.5

the rule is multiply x by 0.5 or y = 0.5x

Hope this helps!
4 0
3 years ago
How to put 49% as a fraction in simplest form
Snezhnost [94]
49/100 in simply that is your answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help!! 68 POINTS!! !!!!!! math!! look at picture!
    14·2 answers
  • Simplify the expression <br> 3(9+4x−5)<br> 3(9+4x−5)<br> . 
    6·2 answers
  • Through: (1,-5), perpendicular to y=18x+26
    15·1 answer
  • How to simplify fractions with negative exponents in the denominator and numerator?
    13·1 answer
  • Which shows 42^2 − 38^2 being evaluated using the difference of perfect squares method?
    6·2 answers
  • Helppp plssss helppp I have to hand this in in 7 min so pls help
    5·1 answer
  • Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
    12·1 answer
  • 2) Poe Tayto wants to
    5·1 answer
  • Select the correct symbol.<br><br> 0.88 ? 0.178<br> A.
    8·1 answer
  • Plz solve this question
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!