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
1 answer:
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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Explanation:
Here, we want to get the sequence type
In an arithmetic sequence, the difference between terms is the same
For a geometric sequence, the division of a succeeding term by a preceding term would yield the term called the common ratio
Now, let us consider the differences:
This means that the sequence is not arithmetic
Now, let us test if geometric
Mathematically, we have that as:
This means that the given sequence is geometric