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Mathematics Cambridge 3u year 11 help exercise 4B (1 Viewer)

Drongoski

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What happened to the solution I just posted to Q10 at 12:42 ??


Drop a perpendicular from C to PB; call the foot of this perpendicular R

Now note: angle CBR = angle PAB = @

Use this simple fact: in a right-angled triangle, hypotenuse of length 'h' and one acute angle @.
Then the 2 sides, one opp angle @ and the other adjacent to @ have, immediately, resp. lengths:

h sin@ and h cos @

Using this fact: AP = x cos@ and PQ = CR = y sin@

.: AQ = AP + PQ = x cos@+ y sin@

QED
 
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