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r-ruslan [8.4K]
2 years ago
10

PLZ HELP!! WILL MARK BRANLYIST!!! 30 POINTS!!

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

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 <u>cos</u>.

Cos=\frac{adjacent}{hypotenuse}

Let's plug in our numbers and variable.

(Cos)70=\frac{10}{x}

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.

x=\frac{10}{(cos)70}

Divide 10 by (cos)70.

<em>x = 29.24</em>

So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.

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