Question

The Burj Khalifa, standing at a height of 828 meters, located in dubai in the united Arab emirates, is the tallest building in the world as of 2022. Andre Visited Dubai over the summer break. he stood 750 meters away from the building. what would be the angle of elevation if Andre were to be looking at the top of the building? Round to the nearest hundredth

Answer 1

To find the angle of elevation to the top of the Burj Khalifa, we use the tangent function. With Burj Khalifa’s height of 828 meters and Andre's distance of 750 meters from its base, the angle of elevation is approximately 47.74 degrees.

Step-by-step explanation:

To calculate the angle of elevation from Andre to the top of the Burj Khalifa, we use trigonometry. Assuming Andre is standing at ground level, looking up at the top of the tower, we'll consider this as a right-angled triangle problem with Andre's position and the base of the tower forming the two ends of the triangle's base, and the tower's height as the triangle's height.

Using the tangent function:
tan(angle of elevation) = opposite/adjacent, we have:
tan(angle of elevation) = height of Burj Khalifa/distance from Andre to Burj Khalifa.
So, it's: tan(angle of elevation) = 828 meters / 750 meters.

To find the angle of elevation, we take the arctan (inverse tangent) of the ratio:
angle of elevation = arctan(828/750).

Using a calculator, we find that the angle of elevation is approximately 47.74 degrees, rounding to the nearest hundredth.