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Morgarella [4.7K]
3 years ago
6

A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of

elevation to the top of the building

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

The angle of elevation to the top of the building is 63.61 degrees

Step-by-step explanation:

Here, we want to calculate angle of elevation to the top of the building.

For this, we need a triangle

Please check for this in the attachment.

From the diagram, we are to calculate the angle theta.

To do this, we use trigonometric identities.

Looking at what we have, we have the hypotenuse and the adjacent.

So the trigonometric identity to use is the cosine

Mathematically Cosine theta = adjacent/hypotenuse

Thus, Cos theta = 20/45

Cos theta = 0.444444444444444

Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

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Five of Teddy’s six cousins can
Sliva [168]

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is \frac{5}{6}. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

\frac{5}{6} =0.83

7 0
3 years ago
HELP ME PLEASE <br> What is the value of z?
dybincka [34]

Answer:23

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
X-4[x-2(x+6)]=5x+3<br><img src="https://tex.z-dn.net/?f=x%20-%204%20%20%20%5B%20%20x%20-%202%28x%20%2B%206%29%5D%20%20%3D%205x%2
pshichka [43]

The equivalence of the equation is 5x + 48 = 5x + 3.

Since 48 cannot be equal to 3, hence there are no solution.

<h3>What is the value of x?</h3>

Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3

We remove the parentheses

x-4[ x - 2( x + 6) ] = 5x + 3

x-4[ x - 2x - 12 ] = 5x + 3

x - 4x + 8x + 48 = 5x + 3

5x + 48 = 5x + 3

We can go further and collect like terms

5x - 5x + 48 = 3

48 ≠ 3

Since 48 cannot be equal to 3, hence there are no solution.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

7 0
2 years ago
The floor of an elevator in a building is 30.33 feet above ground level. It then travels down to the lower level of the building
Ivan
The traveled distance is 40.819 feet (downward)
3 0
2 years ago
omar will donate up to $500 to charity. the money will be divided between two charities: the city of youth fund and educational
marshall27 [118]

Answer:

Please refer to the attached graph

Step-by-step explanation:

Knowing the following:

X = amount of money donated to the city youth fund

Y = amount of money donated to the educational growth foundation

We can write the statements in form of equations:  

"Will donate up to $500, the money will be divided between two charities"

(a) X + Y = \$ 500

"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"

(b) Y \geq 4X

If we graph both equations we can see the area where both conditions are met (see graph attached)

Where the blue line is (a) and the red line is (b)

Shaded area represent all the possible solutions for the donations, for example:

X=100 and Y=400 or

X=50 and Y=200, etc.

6 0
2 years ago
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