Question

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

Answer 1

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

`\angle BCA=10`

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

`\tan (\alpha)=\frac{opposite\text{ side}}{\text{adjacent}}`

In this case

`\tan (10)=(x)/(500)`
`\tan (10)\approx0.1763`
`0.1763\cdot500=x`
`x=88.16`

Round to the nearest tenth

`x=88.2`