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Can someone explain to me how it is possible to determine an answer for this question? The waterslide one, I've had a go at it but there simply does not seem to be enough information (equations etc) to get answers. Any ideas?

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are you talking about 16?
The one underneath, Analysis Question 1.
use tan theta= h1/ 5

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Other answers:

and \[h1= \sqrt {l^2-25}\]
In order to use trig, you need an angle, but there is no angle listed in this question.
coordinate of A is (16,0)
The answer section in the back of the book states it is (15,0)
hmm...wait a sec
how come this cubic equation has got two roots only??
let's say coordinate of A is (x1,0)...your cubic function will be (x-0)(x-8)(x-x1)
but at x=0 value of cubic function is h1
so the function is (x-h1)(x-5)(x-x1)
now i am realising ...this question is really a good one :)
@lgbasallote where are you...come here ..have some fun
someone called?
yea me....check out the question and help to figure this out ...please
sorry. i hate math...i have no idea
well i had been seeing have solved mathematics for most of the time ...but it's fine....if you don't wanna get in to this
i seriously do not have any idea. i'm just a primary school student.

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