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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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8. 2x2 + 3x when x = 3​
chubhunter [2.5K]

Answer:

27

Step-by-step explanation:

Substitute x = 3 into the expression

2(3)² + 3(3) = 2(9) + 9 = 18 + 9 = 27

4 0
3 years ago
Read 2 more answers
a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the len
MissTica
Let 'w' represent the width of the parking lot, then 'w+6' represents its length



area = width * length



160 = w * (w+6)

solving for 'w' we have a positive value of w=10



10+6=16



the width of the parking lot is 10 yards, the length of the parking lot is 16 yards
3 0
3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

3 0
3 years ago
On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon
nalin [4]
E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72
5 0
3 years ago
This is another 2 in one so tell me which one is the answer to which question if you only answer one
Dominik [7]

Answer:

14 is 62.5 and 15 is 156

Step-by-step explanation:

5 0
3 years ago
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