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Help with homework please find the length of WU to the nearest foot

Help with homework please find the length of WU to the nearest foot-example-1

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WU = 30.2 ft

Here, we want to find the side marked x to the nearest foot

From the question, we need to get the sides of the triangle given

The side facing the right-angle is the longest side and it is called the hypotenuse

The side that faces the angle given is known as the opposite

With respect to the question, the hypotenuse is marked 40, while the opposite is marked x

Mathematically, we will need a trigonometric identity that links both

The trigonometric identity that links the hypotenuse and the opposite is the sine

The sine of an angle is the ratio of the length of thr opposite to that of the hypotenuse

We have this as;


\begin{gathered} \sin \text{ 49 = }(x)/(40) \\ \\ x\text{ = 40sin 49 = 30.1884} \end{gathered}

To the nearest tenth of a foot, this is 30.2 foot

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