Ask Question
28 November, 08:26

ou are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 123 meters above the 86th floor, what is the total height of the building?

+3
Answers (1)
  1. 28 November, 09:33
    0
    443.2m

    Step-by-step explanation:

    Given in the question that,

    distance from building to me = 45m

    angle of elevation = 82°

    building is 123 m + x m high

    If we closely observe then this situation make a right angle triangle and we will use trigonometry identity to solve the question.

    Step 1

    tan (82) = y / 45

    y = 45tan (82)

    y = 320.2 m

    Step 2

    Hence the height of building is y + 123m. So, plug the value of y in this

    320.2 + 123 = 443.2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “ou are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers