The function f(x) varies directly with x and f(x) = 12 when x = ¼. What is f(x) when x = 1/8?
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Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA
Where there is our given angle.
Let plug it in
Multiply 12 by both sides and we get
Which about 11.8 if rounded to nearest tenth or 11.82 if rounded to nearest hundredth.
IF ROUNDED TO NEAREST TENTH, 11.8
IF ROUNDED TO NEAREST HUNDRETH, 11.82