Answer:
12.649
<u>Skills needed: Trigonometry</u>
Step-by-step explanation:
1) We need to use one of the fundamentals of trigonometry, which is:
Soh Cah Toa
---> Soh = ( equals the side <u><em>O</em></u>pposite of it divided by the <u><em>H</em></u>ypotenuse -- sin is short for sine (pronounced as sign)
Soh = Sine Opposite Hypotenuse
---> Cah = ( equals the side adjacent (not the hypotenuse) to the angle divided by the hypotenuse -- cos is short for cosine (pronounced as co-sign)
Cah = Cosine Adjacent Hypotenuse
---> Tan = ( equals the side opposite of it divided by the side (not hypotenuse) adjacent to it -- tan is short for tangent
Tan = Tangent Opposite Adjacent
2) In this case, we are solving for adjacent:
This is because is next to and is not the hypotenuse ( is the hypotenuse as it is opposite the right angle)
<em>---> We are given </em><em>opposite </em><em>as side </em> is opposite
3) Let's plug it in:
--> Here, we should multiply both sides by
--> To get by itself, divide both sides by
You have to plug this into the calculator as you cannot mentally solve trig functions.
---> Plugging it into calc:
is rounded to the ten-thousandths, but the problem asks for 3 SF, so that would be (rounded that 85 to 9 (or 90))