Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use cos.
[tex]Cos=\frac{adjacent}{hypotenuse}[/tex]
Let's plug in our numbers and variable.
[tex](Cos)70=\frac{10}{x}[/tex]
Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.
[tex]x=\frac{10}{(cos)70}[/tex]
Divide 10 by (cos)70.
x = 29.24
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
