Question

Using the information below, work out the length p. Give your answer to the nearest integer.
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Answer 1

`\frac{ \sin( { \cos }^( - 1) (1)/(2) ) }{ 45 } = \frac{ \sin( { \cos }^( - 1) (3)/(4) ) }{p}`

`\sqrt{ {2}^(2) - {1}^(2) } = √(4 - 1) = √(3)`

`\sqrt{ {4}^(2) - {3}^(2) } = √(16 - 9) = √(7)`

`( √(3) )/(2(45)) = ( √(7) )/(4p)`

`(4 √(3) )p = 90 √(7)`

`p = (45 √(7) )/(2 √(3) ) ( ( √(3) )/( √(3) ) ) = (45 √(21) )/(6) = (15 √(21) )/(2) = 34`