Trignometry Question Please help
1 answer:
Answer:
19.45°
Step-by-step explanation:
Suppose the post is 1 unit high. Then the distance from the post to another corner of the rectangle will satisfy the relation ...
distance/1 = tan(90° -angle of elevation)
So, for the near corner, the distance from the post is ...
distance = tan(90° -36°) = tan(54°) = 1.37638 . . . post lengths
For the other given corner, the distance from the post is ...
distance = tan(90° -22°) = tan(68°) = 2.47509 . . . post lengths
The Pythagorean theorem can be used to find the distance from the post to the diagonally opposite corner:
distance^2 = 1.37638^2 +2.47509^2 = 8.02048
distance = √8.02048 ≈ 2.83205
The relation of this to the angle of elevation is ...
tan(angle of elevation) = 1/2.83205
angle of elevation = arctan(1/2.83205) ≈ 19.45°
_____
In the attached diagram, we have used segments BP and CP as surrogates for the post, so we could determine distances PD and PE that are the sides of the rectangular courtyard. Then the courtyard diagonal is PF. Using PA as a surrogate for the post, we found the angle of elevation from F to A (the top of the post) to be 19.45°, as computed above.
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$9.75
<h3>Further explanation </h3>Given:
- The typical balance on Lucy's credit card is $650.
- The interest rate (APR) on her credit card is 18%.
Question:
How much in interest would you expect Lucy to be charged in a typical month?
The Process:
This problem includes the type of determining simple interest.
where,
- I = simple interest
- P = principal (initial amount)
- r = annual interest rate
- t = time (in years)
This time we will find out how much in interest we would expect to be charged in a typical month.
The data is as follows:
- P = 650
- r = 18% or
or 0.18
- t =
year (one month)
Let us calculate how much in interest we would expect to be charged in a typical month.
Thus the amount of interest we would expect Lucy to be charged in a typical month is $ 9.75.
_ _ _ _ _ _ _ _ _ _
Notes
We must be able to distinguish between simple and compound interest. Please learn about this in the link attached below.
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