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
Archy [21]
3 years ago
5

52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

9514 1404 393

Answer:

  32.5 ft

Step-by-step explanation:

The length of the side opposite the given angle is found using the sine relation:

  Sin = Opposite/Hypotenuse

  height on building = (33 ft)·sin(80°) ≈ 32.5 ft

The ladder reaches about 32.5 feet up the side of the building.

_____

<em>Additional comment</em>

The maximum angle compliant with OSHA safety rules is 75.5°.

You might be interested in
Evaluate cot870°.<br> 1. - sqrt3<br> 2. -1/sqrt3<br> 3. 1/sqrt3<br> 4. sqrt3
ivolga24 [154]

ANSWER

-\sqrt{3}

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

\cot(870 \degree)  =  \cot(150 \degree)  =  -  \cot(30 \degree)  =  -  \frac{1}{ \tan(30 \degree) }  =  - \sqrt{3}

The first option is correct.

3 0
3 years ago
An investment gains $5 in value on one day. The next day, it loses $3 in value. Represent each of these using integers.
kap26 [50]

Answer:

+5 and -3

Step-by-step explanation: It gained 5 in value which is +5. It loses 3 in value which is -3.

4 0
3 years ago
Which of the following answer choices is an equation for the circle with a center of (-2, 3) and a radius of 3?
mamaluj [8]

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 2, 3) and r = 3 , then

(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL

x² + 4x + 4 + y² - 6y + 9 = 9  ( subtract 9 from both sides )

x² + y² + 4x - 6y + 4 = 0 → A

5 0
2 years ago
Solve the equation: Sin2x - Sinx = 0
Viktor [21]
We know that sin2x=2sinxcosx 
(search the net for proof if you wish) 

So the original equation becomes

2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get: 

sinx(2cosx-1)=0 
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2

sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer

5 0
3 years ago
I am a square. One of my side is 9 feet long. What is my area?
Stella [2.4K]

Hello from MrBillDoesMath!

Answer:

81 ft^2

Discussion:

The area of a square is (length of a side)^2.  In this case,

Area = 9^2 = 81


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


8 0
3 years ago
Other questions:
  • Write the standard equation for the ellipse with the given conic form.
    12·1 answer
  • Please Help!
    11·2 answers
  • How do you translate a figure 5 units right and 1 unit up, what are the coordinates ?
    10·2 answers
  • Please help asap 15 points
    12·2 answers
  • Hello I need help with concavity of graphs. I have included a picture of the 4 problems I would love to be checked to see if the
    9·1 answer
  • Martin kept track of the number of times he had to flip a coin before it landed tails up.
    8·2 answers
  • Please help me out with my math!
    14·1 answer
  • Am I colorblind? please help
    13·2 answers
  • 9
    7·1 answer
  • Please help I’m confused math is hard!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!