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Sid drove from his home to the museum. He drove 2 miles (mi) due south and then 3 mi due west. This situation is represented by the figure shown below. 2 mi 3 mi Which value is closest to the measure of the angle represented by x? O A 34° B. 42° O C. 56° D. 480

Sid drove from his home to the museum He drove 2 miles mi due south and then 3 mi due west This situation is represented by the figure shown below 2 mi 3 mi Whi class=

Respuesta :

As you can see from the given figure, it is a right-angled triangle.

We are asked to find the measure of angle x.

We know from the trigonometric ratios that

[tex]\tan (x)=\frac{opposite}{adjacent}[/tex]

Let us find the angle x

[tex]\begin{gathered} \tan (x)=\frac{opposite}{adjacent} \\ \tan (x)=\frac{2}{3} \\ x=\tan ^{-1}(\frac{2}{3}) \\ x=33.69\degree=34\degree \end{gathered}[/tex]

Therefore, 34° is the closest to the measure of angle x.

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