Answered

Determine the value of x. Round your answer to the nearest whole number, if necessary.

Determine The Value Of X Round Your Answer To The Nearest Whole Number If Necessary class=

Answer :

By definition:

cos(angle) = adjacent/hypotenuse

In triangle ABD:

cos(∠A) = 10/x

In triangle ABC:

cos(∠A) = x/40

Then,

[tex]\begin{gathered} \frac{10}{x}=\frac{x}{40} \\ 10\cdot40=x\cdot x \\ 400=x^2 \\ \sqrt[]{400}=x \\ 20=x \end{gathered}[/tex]

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