PLZ HELP GR10 TRIGONOMETRY PROBLEM

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PLZ HELP GR10 TRIGONOMETRY PROBLEM

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A wooden ramp is being built to provide wheel chair access to the park. Stacey, Bob and Katherine drew out an initial plan where the ramp would span a horizontal distance of 9 m and a vertical distance of 2.7 m. However, they decided the ramp would need extra support. As a result, they decided to place an extra vertical support beam a distance of 5.5 m from the point where the ramp meets the ground. USE TRIGONOMETRY (yes I know its a similar triangles problem, but I have to use trigonometry to solve), TO DETERMINE THE HEIGHT OF THE VERTICAL SUPPORT

smiley0414 Jan 21, 2016

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Firstly, find the angle between the ground and the ramp using tan().

$x=arctan(\frac{opposite}{adjacent})$

$x=arctan(\frac{2.7}{9})$

$x=16.7°$

Now use tan() again to find the height of the support.

$tan(x)\times adjacent=opposite$

$tan(16.7)\times 5.5=opposite$

$opposite=1.65m$

Will85237 Jan 21, 2016

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Will85237 · Answer 1 · 2016-01-21T04:14:59

Firstly, find the angle between the ground and the ramp using tan().

$x=arctan(\frac{opposite}{adjacent})$

$x=arctan(\frac{2.7}{9})$

$x=16.7°$

Now use tan() again to find the height of the support.

$tan(x)\times adjacent=opposite$

$tan(16.7)\times 5.5=opposite$

$opposite=1.65m$

PLZ HELP GR10 TRIGONOMETRY PROBLEM

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