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

Question

asked Jan 28, 2023 193k views

1 Answer

Botismarius · Answer 1 · 2023-02-01T03:33:11+0000

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