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Find the measure of x.26x = [?Round to the nearest hundredth.X78°

Find the measure of x.26x = [?Round to the nearest hundredth.X78°-example-1
User Kjp
by
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1 Answer

3 votes

To answer this question we will use the trigonometric function cosine.

Recall that in a right triangle:


\cos\theta=(AdjacentLeg)/(Hypotenuse).

Using the given diagram we get that:


\cos78^(\circ)=(x)/(26).

Multiplying the above result by 26 we get:


\begin{gathered} 26*\cos78^(\circ)=26*(x)/(26), \\ 26\cos78^(\circ)=x. \end{gathered}

Therefore:


x\approx5.41.

Answer:


x=5.41.

User Delremm
by
6.5k points
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