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Gnesinka
3 days ago
14

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta

tue. Then the person looks down at an angle of depression of 8o when staring at the base of the statue. How tall is the statue to the nearest tenth of a foot?

Mathematics
1 answer:
AnnZ [11.9K]3 days ago
6 0
The statue stands at a height of 21.4 feet. To explain in detail, we know that a person positioned 50 ft away from the statue looks up at an elevation angle of 16 degrees towards the top and looks down at an angle of depression of 8 degrees to see the base. To visualize, we can draw a diagram. For triangle ABF, we have that FC equals 50. We will employ trigonometric formulas to calculate x. In triangle DEF, similarly, we will apply trigonometric formulas and find that the statue's height equals x+y. Thus, the total height of the statue is found.
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B. and D. represent functions
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A model that describes the population of a fishery in which harvesting takes place at a constant rate is given by dP dt = kP − h
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Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
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Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

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The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

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Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

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1 month ago
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
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5 0
16 days ago
Hank and Debra each own two milking cows. One day, they milked their cows and compared the amount of milk the cows produced in t
AnnZ [11925]

Answer:

The result to your inquiry is 2 7/24.

Step-by-step explanation:

Data:

Hank's cows yield = 4 3/4 and 4 1/8

Debra's cows yield = 5 1/2 and 5 2/3

Process:

1.- Convert the mixed numbers into improper fractions:

For Hank: (16 + 3)/4 = 19/4 and (32 + 1)/8 = 33/8.

For Debra: (10 + 1)/2 = 11/2 and (15 + 2)/3 = 17/3.

2.- Add Hank's and Debra's milk quantities:

Hank: 19/4 + 33/8 = 38/8 + 33/8 = 71/8.

Debra: 11/2 + 17/3 = 33/6 + 34/6 = 67/6.

3.- Subtract Hank's total from Debra's total:

67/6 - 71/8 = (268 - 213)/24.

Thus, it simplifies to 55/24.

- Convert back to a mixed number:

2

24 55

7

Where 55/24 equals 2 7/24.

4.- Conclusion:

Debra produced 2 7/24 more milk than Hank.

4 0
1 month ago
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