Question

17. A man stands 4300 feet from the Burj Khalifa in
Dubai (world's tallest building). The angle of
elevation from his eyes (5 feet) to the top of the
building is 32°. How tall is the building?

Answer 1

9514 1404 393

Answer:

  b.  2692 ft

Step-by-step explanation:

The relation of interest between the sides of the right triangle is ...

  Tan = Opposite/Adjacent

Using the given numbers, that is ...

  tan(32°) = (building height)/(4300 ft)

Multiplying by 4300 ft, we get ...

  building height = (4300 ft)·tan(32°) ≈ 2686.9 ft

This is the height above the observer's eyes, so the height of the building above the ground is ...

  2687 +5 = 2692 . . . . feet

The building is 2692 feet tall.