Pre-Calculus(Trigonometry)

posted by Lucina

An 8-m boom is used to move a bundle of piping from point A to point B. Determine the exact vertical displacement of the of the boom when the operator moves it form 30 degrees to 60 degrees.

(Just need work checked)
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I drew two triangles to solve this.

The first triangle:

sin30 = opposite/hypotenuse
x = 8/2
x = 4 <----- First vertical distance


The second triangle

sin60 = opposite/hypotenuse
y = 8 * root3/2
y = 4 root3 <-----second vertical distance

Vertical displacement = y -x
Vertical displacement = 4 root3 - 4 <-----

  1. Steve

    looks good to me

  2. Lucina

    Thank you

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