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## Homework Statement

## Homework Equations

## The Attempt at a Solution

Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.