Pregunta
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e angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately . If skyscraper
s 1469 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same
vation.
he distance from skyscraper to skyscraper is feet.

Ask by Sanders Ryan. in the United States
Jan 31,2025

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The distance between the two skyscrapers is approximately 514.96 feet.

Solución

To find the distance between the two skyscrapers, we can use the tangent function from trigonometry.
Given:
  • Angle of inclination from the base of skyscraper A to the top of skyscraper B:
  • Height of skyscraper A: 1469 feet
We can use the tangent function to find the distance between the two skyscrapers. The tangent function is defined as:
In this case, the opposite side is the height of skyscraper A (1469 feet), and the adjacent side is the distance between the two skyscrapers (which we want to find).
Let’s denote the distance between the two skyscrapers as .
Using the tangent function, we have:
Now, we can solve for by rearranging the equation:
Let’s calculate the value of using the tangent function.
The distance between the two skyscrapers is approximately 514.96 feet.

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Mind Expander

To find the distance between the bases of skyscraper A and skyscraper B, we can use the tangent function from trigonometry. The tangent of the angle of inclination is equal to the opposite side (the height of skyscraper B) divided by the adjacent side (the distance between the two skyscrapers).
So, we can use the formula:
By rearranging the formula to solve for :
Calculating this gives feet.
Now that you know how to approach this problem, it’s a great idea to draw the situation out or use a calculator as sometimes those small numbers can play tricks on your mind!
Another fun angle to think about—literally!—is that different buildings in different locations may have varying angles of inclination due to geographic and architectural factors, making each scenario unique in its own right.

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