Answered

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Find the value of x. Round to the nearest tenth. 10° IX w 500 x = [?] Enter the number that belongs in the green box. Enter

Sagot :

Let's focus out attention on the triangle:

Since the yellow triangle and the white triangle in the image are similar, we can say that

[tex]\angle BCA=10[/tex]

Since we're focusing on a right triangle, we can use the trigonometric formula

[tex]\tan (\alpha)=\frac{opposite\text{ side}}{\text{adjacent}}[/tex]

In this case

[tex]\tan (10)=\frac{x}{500}[/tex][tex]\tan (10)\approx0.1763[/tex][tex]0.1763\cdot500=x[/tex][tex]x=88.16[/tex]

Round to the nearest tenth

[tex]x=88.2[/tex]

View image MianaS58667
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