Trigonometry, please help?!
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Trigonometry, please help?!

[From: ] [author: ] [Date: 12-07-12] [Hit: ]
The length of the ramp will be 32 x 12 = 384cm or 3.84 m. If the ramp is made 4m. long then the gradient will be a tad less than 1:12.......
"Advice about wheelchair ramps is that for a ramp that rises more than 7.5cm the maximum gradient should be 1/12.
(a) Access to a Village Hall is by two steps by each 16cm high. It is proposed to build a ramp alongside the steps. Does the propsed ramp follow the advice given? You must show your working.
(b) For a wheelchair ramp that rises less than 7.5cm the maximum gradient should be 1/8.
A ramp is designed for a step that rises 6cm. Work out the length of a ram that uses the maximum gradient."

Thankyou in advance to any answers :)

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gradient = height / length

so length = height / gradient (or length = height * inverse_of_gradient)

a) if it is following the rule, the ramp length should be longer than 32cm*12 = 384 cm
b) 6cm*8 = 48cm....

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The two steps add up to a height of 32cm. and as this is more than 7.5cm, the rule to be applied will be a 1:12 gradient.
The length of the ramp will be 32 x 12 = 384cm or 3.84 m. If the ramp is made 4m. long then the gradient will be a tad less than 1:12.
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