Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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3. Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat
field. A worker wants to support both poles by running rope from the ground to the top of
each post. If the worker wants to stake both ropes in the ground at the same point,
where should the stake be placed to use the least amount of rope?
4. A particle moves along a horizontal line. Its position function is s(t) for t z 0. For each
problem, find the velocity function v(t) and the acceleration function a(t). Sketch the
graph of s(t), v(t), and a(t).
a. s(t) = t^3 - t^2 - 56t
Transcribed Image Text:3. Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope? 4. A particle moves along a horizontal line. Its position function is s(t) for t z 0. For each problem, find the velocity function v(t) and the acceleration function a(t). Sketch the graph of s(t), v(t), and a(t). a. s(t) = t^3 - t^2 - 56t
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