Question

Find the value of x. Round to
the nearest tenth.
17°
47
Х
X =[?]

Answer 1

13.7 units

Explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

`sin\theta=(opposite)/(hypotenuse)`

Plug in known information

`sin17=(x)/(47)\\47*sin17=x\\13.7=x`

Therefore, the value of x when rounded to the nearest tenth is 13.7 units.

I hope this helps!