Question

Burj khalifa in dubai is the tallest building in the world, standing at 828 meters. another building, 100 m away, stands 550 m tall. what is the angle of depression from the top of the burj khalifa to the top of the other building?

Answer 1

To find the angle of depression, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the other building, and the adjacent side is the horizontal distance between the two buildings.

Step-by-step explanation:

To find the angle of depression from the top of the Burj Khalifa to the top of the other building, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the other building, which is 550 meters, and the adjacent side is the horizontal distance between the two buildings, which is 100 meters. Therefore, the tangent of the angle of depression is 550/100 = 5.5.

Now, we can find the angle of depression by taking the inverse tangent (or arctangent) of 5.5. Using a calculator, we get the angle to be approximately 79.6 degrees.