1. At the store, you purchase a magic plant that continues to grow straight up indefinitely without pause. For the following questions, assume you remain 10 ft from the base of the plant and both you and the plant are on a straight, flat surface. For all angle calculations, assume 0 < 0 < t/2 and that 0 is formed between the ground where you are standing and the top of the plant. Plant top h You 10 (a) Given the picture above, determine a function, f(h), to describe 0 as a function of h (i.e. 0 = f(h)). (b) Approximately what is the value of 0 (in radians) after the plant has grown to be 20ft tall? Round to the nearest thousandth. (c) Approximately what is the value of 0 (in radians) after the plant has grown to be 100ft tall? Round to the ncarest thousandth.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter56: Arcs And Angles Of Circles, Tangent Circles
Section: Chapter Questions
Problem 31A: Solve the following exercises based on Principles 18 through 21, although an exercise may require...
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1. At the store, you purchase a magic plant that continues to grow straight up indefinitely without pause.
For the following questions, assume you remain 10 ft from the base of the plant and both you and
the plant are on a straight, flat surface. For all angle calculations, assume 0 <0 < 1/2 and that 0 is
formed between the ground where you are standing and the top of the plant.
Plant top
h
You
10
(a) Given the picture above, determine a function, f(h), to describe 0 as a function of h (i.e. 0 = f(h)).
(b) Approximately what is the value of 0 (in radians) after the plant has grown to be 20ft tall? Round
to the nearest thousandth.
(c) Approximately what is the value of 0 (in radians) after the plant has grown to be 100ft tall?
Round to the nearest thousandth.
Transcribed Image Text:1. At the store, you purchase a magic plant that continues to grow straight up indefinitely without pause. For the following questions, assume you remain 10 ft from the base of the plant and both you and the plant are on a straight, flat surface. For all angle calculations, assume 0 <0 < 1/2 and that 0 is formed between the ground where you are standing and the top of the plant. Plant top h You 10 (a) Given the picture above, determine a function, f(h), to describe 0 as a function of h (i.e. 0 = f(h)). (b) Approximately what is the value of 0 (in radians) after the plant has grown to be 20ft tall? Round to the nearest thousandth. (c) Approximately what is the value of 0 (in radians) after the plant has grown to be 100ft tall? Round to the nearest thousandth.
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