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
V125BC [204]
3 years ago
9

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.

To the nearest tenth of a foot, how long is the ladder?
Mathematics
2 answers:
EastWind [94]3 years ago
8 0
<u>32.9 ft</u> 
That's the answer!
Hope it helps! 
jeyben [28]3 years ago
4 0
Sine rule

a/Sin(A) = b/Sin(B) = c/Sin(C)
     b
 C / |
a / _| A 
    B  c

We know that a = 70 degrees and A = 25 foot
So 70/Sin(25) = Something
We also know we want C, and that c = 90 degrees
So 70/Sin(25) = 90/Sin(C)
Then you have to rearrange the equations. Start with Multiply all by Sin(C)
So [Sin(C)][70/Sin(25)] = 90
Then divide everything by 70/Sin(25)
So Sin(C) = 90/[70/Sin(25)]
Now you want to isolate C, so Sin-1 everthing
So C = Sin-1{90/[70/Sin(25)]}
So C = 32.91309534
To the nearest tenth, 32.9ft
Hope that helps :)
You might be interested in
What is the answer to 4x + 27
Alla [95]

Answer:

Step-by-step explanation:

4x+27

----  ----

4       4

x=6.75 or x=7

7 0
3 years ago
Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

\cos(a+b)=\cos(a)\cos(b)-\sin(a)\sin(b).

The cosine difference identity is:

\cos(a-b)=\cos(a)\cos(b)+\sin(a)\sin(b).

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)

By the symmetric property we can write:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}

3 0
3 years ago
What is the answer? 10 + (–4) =
Tanzania [10]

Answer:

6

Step-by-step explanation:

because i just know it lol

6 0
2 years ago
Read 2 more answers
Add parentheses this equation true 2×2+12÷4+3=4
trasher [3.6K]

Answer:is this true or false or something?

Step-by-step explanation:

5 0
3 years ago
How do you find the volume of a cardboard box this is 12 cm long, 2cm wide and 3 cm high?
levacccp [35]
V = 12 × 2 × 3 = 72 cm3
Hope this helps!
7 0
3 years ago
Other questions:
  • A pair of shoes usually sells for $64. If the shoes are 30% off, and the sales tax is 5%, what is the total price of the shoes,
    10·1 answer
  • What is (6x-5) + (8x-50)
    15·2 answers
  • What are the factors of 15 18 and 12?
    11·1 answer
  • 2+2+374+820+829-9204
    7·2 answers
  • What is a qualitative graph?
    10·2 answers
  • What is the volume of this cube with a side length of 6 centimeters? A cube with side lengths of 6 centimeters. Recall the formu
    9·2 answers
  • A worker makes $ 600,000 a month, how much do you earn in a year?
    8·2 answers
  • 8TH GRADE MATH HELP IMAGE ATTACHED​
    11·1 answer
  • At a school number of boy:number of girls is in the ratio 11:9
    6·1 answer
  • 3 tacos cost $18. Complete the table to show the cost of 4,5 and 6 tacos at the same rate. Create and fill in the table using th
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!