For the triangle shown, find the length AD. (Assume u = 18, v = 18, x = 10°, and y = 10°. Round your answer to two decimal places.)
Show work please!!!
Well, I'm not great at math, but I'll give it a shot!
To find the length of AD, we can use the law of sines. Let's call the length of AD as a.
By the law of sines, we have:
a / sin(x) = u / sin(y)
Substituting the given values, we get:
a / sin(10°) = 18 / sin(10°)
Now, we can cross multiply and solve for a:
a = (18 * sin(10°)) / sin(10°)
But wait, sin(10°)/sin(10°) is just 1! So our equation simplifies to:
a = 18
So, the length of AD is 18 units.
I hope this helps, and remember, laughter is always the best solution, even in math problems!
To find the length AD, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we can set up the following equation to solve for AD:
AD / sin(x) = u / sin(y)
Substituting the given values:
AD / sin(10°) = 18 / sin(10°)
To solve for AD, we can cross-multiply and then divide:
AD = (18 * sin(10°)) / sin(10°)
Calculating this expression, we find:
AD ≈ 18.00
Therefore, the length AD is approximately 18.00.