Ask Question
9 March, 19:51

A rectangular billboard 7 feet in height stands in a field so that its bottom is 12 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands x feet from the billboard. Express θ, the vertical angle subtended by the billboard at her eye, in terms of x. Then find the distance x0 the cow must stand from the billboard to maximize θ.

θ (x) =

+3
Answers (1)
  1. 9 March, 21:53
    0
    We form rectangular triangle. Ninghty degrees angle.

    Step-by-step explanation:

    1) the top of the billboard is

    7+12=19 feet above the ground

    2) the eye of the cow is

    4 feet high

    3) the opposite side of the triangle is

    19-4=15 feet

    4) the distance between cow eye and billboard is

    "x"

    5) tg (θ) = 15/x

    6) x=15/tg (Θ)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A rectangular billboard 7 feet in height stands in a field so that its bottom is 12 feet above the ground. A nearsighted cow with eye level ...” 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