A 100 ft. building casts a 300 ft. Shadow from the sun. What is the angle of depression?
1 answer:
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Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly 17.0045249336018 meters tall
Answer: 17.0045249336018
Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to
Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:
Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:
Now given N = 480 and C = 4.90, we first find k:
Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:
Rounding to next whole number, we have 436 items