Answer and Step-by-step explanation:
For this triangle, to find x, we will use the cosine trigonometric function.
cosine functions look like this:
![cos(\theta) = (adjacent)/(hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/li44ang5qmln0d5rlat903vehj35ja471r.png)
(The weird looking symbol is called theta, and represents an angle measurement)
Plug in the values into the equation.
cos(42) =
![(x)/(15)](https://img.qammunity.org/2022/formulas/mathematics/college/wtwjvhstmhr0hbmxlvo4t1u1vwrc500r2p.png)
Multiply both sides by 15.
15(cos(42)) = x
Plug into a calculator.
11.1472 is the answer.
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