A right triangle is shown above where and Line segments are continually drawn to be
Chapter 9, Problem 112(choose chapter or problem)
Length A right triangle XYZ is shown above where \(|X Y|=z\) and \(\angle X=\theta\). Line segments are continually drawn to be perpendicular to the triangle, as shown in the figure.
(a) Find the total length of the perpendicular line segments \(\left|Y y_{1}\right|+\left|x_{1} y_{1}\right|+\left|x_{1} y_{2}\right|+\cdots\) in terms of z and \(\theta \text {. }\)
(b) If \(z=1\) and \(\theta=\pi / 6\), find the total length of the perpendicular line segments.
Text Transcription:
|X Y|=z
angleX=theta
|Yy_1|+|x_1y_1|+|x_1y_2+cdots
theta
z=1
theta=pi/6
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