Since x is 12, you add that with 3 so you get 15, then multiply it by 2 which you get 30
The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.
This means
sin(30º) = SL/(2*SL) = 1/2
tan(30º) = SL/(√3*SL) = 1/√3
(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)
So in this triangle, x and y satisfy
sin(30º) = 4/x
tan(30º) = 4/y
This comes straight from the definitions of sine and tangent. Then
4/x = 1/2 ==> x = 8
4/y = 1/√3 ==> y = 4√3
There are at least two different things that could go in
the blank spot and make the equation a true statement.
It could be " - 2 " .
It could be " · 4/3 " .
It could be " + 2 cos(π) "
etc.
Answer:
<h2>22.5 feet</h2>
Step-by-step explanation:
The formula for circumference is 2(3.14)r
So, we divide 141.3 by 6.28 and get 22.5
The radius is 22.5 feet.
