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ms51ves3
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PostPosted: 23:31 - 11 Nov 2010    Post subject: Like a bit of maths? Have a go at this... Reply with quote

This is a question in my analytical methods assignment on my HNC construction course. I've already got the answer, but it's quite an easy question once you know what you're doing, just takes a little time to work out.

Quote:
A site is surveyed and it is found that the angle to the top of the main building is 45 degrees when measured from a distance. When measured from 200 metres closer, the angle is 80 degrees. Assuming the ground is horizontal, make some practical calculations using degrees and the three trigonometric ratios, sin, cos or tan to find the height of the building.


Please post your answer up in size 1 writing so as not to spoil it for other people if you do get the answer right Thumbs Up
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rac3r
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PostPosted: 23:33 - 11 Nov 2010    Post subject: Reply with quote

1
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ms51ves3
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PostPosted: 23:37 - 11 Nov 2010    Post subject: Reply with quote

Are you stupid, Warped?

Stand at the side of your house from ten metres away, look up to the top of it, now stand with you chest touching the wall of your house and look up to the top of it again.

As if by magic, the angle of your head has changed Surprised

You're going 200 metres along the ground, not up a cherry picker towards the top of the building at the same angle.

Rac3r - No Laughing
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rac3r
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PostPosted: 23:39 - 11 Nov 2010    Post subject: Reply with quote

ms51ves3 wrote:

Rac3r - No Laughing


Worth a shot Laughing

Thumbs Up I hate maths Thumbs Up
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blurredman
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PostPosted: 23:46 - 11 Nov 2010    Post subject: Reply with quote

I didn't read it through properly. I am a dick.

I know it's pythagoras triangle, you work out the final angle degree by using the 45 and 80 figures.
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Last edited by blurredman on 23:54 - 11 Nov 2010; edited 2 times in total
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bacon
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PostPosted: 23:53 - 11 Nov 2010    Post subject: Reply with quote

242.81m

basic maths people Razz
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HP
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PostPosted: 23:57 - 11 Nov 2010    Post subject: Reply with quote

The height of the bulding is the the distance of which you was away originally, however im struggling to find an exact figure for the distance.
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Frost
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PostPosted: 00:01 - 12 Nov 2010    Post subject: Reply with quote

242.8

√!∞


Last edited by Frost on 00:26 - 12 Nov 2010; edited 2 times in total
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Pete.
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PostPosted: 00:09 - 12 Nov 2010    Post subject: Reply with quote

Autocad says 242.81m Very Happy
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DJH
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PostPosted: 00:12 - 12 Nov 2010    Post subject: Reply with quote

I don't know.
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L4Isoside
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PostPosted: 00:15 - 12 Nov 2010    Post subject: Reply with quote

So in "everyday" life, when will I ever need to do this? Razz
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Frost
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PostPosted: 00:20 - 12 Nov 2010    Post subject: Reply with quote

If you're an engineer wanting to know how high something is and you don't have a tape measure long enough?
Something similar to this was first used to calculate the size of the earth.
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L4Isoside
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PostPosted: 00:37 - 12 Nov 2010    Post subject: Reply with quote

DaFrostyOne wrote:
If you're an engineer wanting to know how high something is and you don't have a tape measure long enough?
Something similar to this was first used to calculate the size of the earth.


Fair enough

I won't learn how to Razz
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stinkwheel
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PostPosted: 01:23 - 12 Nov 2010    Post subject: Reply with quote

https://i48.photobucket.com/albums/f216/stinkwheel/trig.png

Fukin' maths!

Stinkwheel used his head, (but a scientific calculator, not Trig tables)

EDIT: Also. I've drunk 5 pints of magners.

EDIT 2: I should also add, it's been 16 years since I did maths and I also claim full marks for showing my working.
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Last edited by stinkwheel on 02:34 - 12 Nov 2010; edited 1 time in total
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stinkwheel
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PostPosted: 01:50 - 12 Nov 2010    Post subject: Reply with quote

L4Isoside wrote:
So in "everyday" life, when will I ever need to do this? Razz


Ever use an OS map? How do you think they worked out how far apart everything is?
https://www.trigtools.co.uk/images/primary-rays2.png

They only measured one of those lines in the South of England, then did another in the North of Scotland to check their sums. They were less than two inches out.
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ollieholt
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PostPosted: 02:09 - 12 Nov 2010    Post subject: Reply with quote

hehe pervascope.... thats hilarous! Laughing
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swanny
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PostPosted: 06:42 - 12 Nov 2010    Post subject: Reply with quote

well if you stand next to the building and look up, its at 90 degree's unless its built by cowboys in which case the whole equation is wrong.
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ms51ves3
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PostPosted: 07:05 - 12 Nov 2010    Post subject: Reply with quote

Pete. wrote:
Autocad says 242.81m Very Happy


Autocad is wrong if you do the whole calculation to 8 decimal places Wink

Well done Stinkwheel for showing your working.
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Suntan Sid
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PostPosted: 08:07 - 12 Nov 2010    Post subject: Reply with quote

The answer is:-

242.814m

You will never have to do that calculation in real life, you ask your CAD buddy to spare 10 secs of their time to work it out for you!
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Charlie
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PostPosted: 10:40 - 12 Nov 2010    Post subject: Reply with quote

Slightly different method to Stinkwheel

Although I guess I lose marks for not using a ruler Mad
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qarka
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PostPosted: 10:47 - 12 Nov 2010    Post subject: Reply with quote

Charlie wrote:
Slightly different method to Stinkwheel

Although I guess I lose marks for not using a ruler Mad


Awesome SOH/CAH/TOA mnemonic Very Happy
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stinkwheel
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PostPosted: 10:47 - 12 Nov 2010    Post subject: Reply with quote

You would ordinarily measure the 200 metres from the base of the wall then measure the angle (x) to the top of the building.

tan x = height/200

Not always possible to measure the distance from the base of the wall though because other buildings may be in the way and you can only get a line of sight from certain locations.

If you're stood on site with a theodolite, a mape measure and a calculator and you have to call a mate to work out the height of a building on a CAD package. The foreman is going to give you the sack.

I'm a believer in maths having a purpose though and for the people doing it to be aware of that purpose. Especially at lower levels. Someone doing an HNC in construction shouldn't have problem knowing exactly why you'd want to do that calculation. The question posted should be well within the reach of someone doing GCSE/Standard grade maths but at that level I might have worded it differently. Maybe something like this:
https://i48.photobucket.com/albums/f216/stinkwheel/baddesley-clinton-solihull-gb939.jpg
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I did the 2010 Round Britain Rally on my 350 Bullet. 89 landmarks, 3 months, 9,500 miles.
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