Question

Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent

building, 100 meters away, stands at 550 meters tall. What is the angle of depression from Burj
Khalifa to the adjacent building?

Answer 1

To find the angle of depression from Burj Khalifa to the adjacent building, we can use trigonometry. The angle of depression is the angle that a line from the observer to the object being observed makes with the horizontal. In this case, the observer is at the top of Burj Khalifa and the adjacent building is 100 meters away and 550 meters tall.

Step-by-step explanation:

To find the angle of depression from Burj Khalifa to the adjacent building, we can use trigonometry. The angle of depression is the angle that a line from the observer to the object being observed makes with the horizontal. In this case, the observer is at the top of Burj Khalifa and the adjacent building is 100 meters away and 550 meters tall.

We can use the tangent function to find the angle of depression. The tangent of an angle is the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height of the adjacent building (550 meters) and the adjacent side is the distance between the two buildings (100 meters).

So, the tangent of the angle of depression can be calculated as: tan(x) = opposite/adjacent = 550/100 = 5.5

To find the angle, we can take the inverse tangent (also known as arctan) of 5.5. Using a calculator, we find that arctan(5.5) is approximately 79.7 degrees.

Answer 2

Approximately 70 degrees

Step-by-step explanation:

If we make a right triangle connecting the two buildings, we get a triangle with height 278m and length 100m

We can connect these two values to the theta by using the inverse tan formula

arctan(278/100) = 70.21572110836 degrees.

The angle of depression is approximately 70 degrees