Question

Solve for x. Round to the nearest tenth, if necessary.

Answer 1

x = 63.9

Explanation:

We have:

`(QR)/(sin35)` =
`(78)/(sin90)`

=> QR × sin90 = 78 × sin35

=> QR × sin90 = 44.7

=> QR = 44.7

But, we also have:
`x^(2)` +
`QR^(2)` =
`78^(2)` <=>
`x^(2)` +
`44.7^(2)` =
`78^(2)` <=>
`x^(2)` = 6084 - 1998.09

=>
`x^(2)` = 4085.91

=> x =
`√(4085.91)` = 63.9211.. = 63.9

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