High School

We appreciate your visit to A building near Atlanta Georgia is 181 feet tall On a particular day at noon it casts a 204 foot shadow What is the sun. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A building near Atlanta, Georgia, is 181 feet tall. On a particular day at noon, it casts a 204-foot shadow. What is the sun's angle of elevation at that time?

Answer :

Aat noon on that particular day, the sun's angle of elevation in Atlanta, Georgia, is approximately 40.41 degrees.

To find the sun's angle of elevation at noon when a building in Atlanta, Georgia, casts a 204-foot shadow with a height of 181 feet, we can use trigonometry.

The angle of elevation is the angle between the ground and the line from the top of the building to the sun. We can consider this as a right triangle, with the height of the building being the vertical side, the length of the shadow being the horizontal side, and the angle of elevation being the angle opposite the vertical side.

Using the tangent function, which relates the opposite and adjacent sides of a right triangle, we can find the angle of elevation:

tan(angle) = opposite/adjacent

In this case, the opposite side is the height of the building (181 feet) and the adjacent side is the length of the shadow (204 feet).

tan(angle) = 181/204

Now we can find the angle by taking the arctangent (inverse tangent) of both sides:

angle = arctan(181/204)

Using a calculator, we can evaluate this expression to find the angle. The result is approximately 40.41 degrees.

Therefore, at noon on that particular day, the sun's angle of elevation in Atlanta, Georgia, is approximately 40.41 degrees.

Learn more about elevation here

https://brainly.com/question/88158

#SPJ11

Thanks for taking the time to read A building near Atlanta Georgia is 181 feet tall On a particular day at noon it casts a 204 foot shadow What is the sun. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada