Ask Question
19 September, 12:47

A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon to be 75.8° and 15.6°. What is the length of the island to the nearest tenth of a mile?

+4
Answers (1)
  1. 19 September, 14:13
    0
    The length of the island will be given as follows:

    tan θ=opposite/adjacent

    thus:

    tan75.8 = 3000/a1

    a1=3000tan75.8

    a1=11855.885 ft

    also:

    tan15.6=3000/a2

    a2=3000tan15.6

    a2=837.62 ft

    Thus the length of the island will be:

    11855.885-837.615

    =11,018.24 ft
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A balloon flying at 3000 feet above the ocean measures the angles of depression of each end of an island directly in front of the balloon ...” 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