Answer:
x = 29.44
y = 34
Step-by-step explanation:
For this problem, we will simply use trigonometry to find the values of y and x for the given triangle.
The two trigonometric functions we will use are tangent and sine.
The general form for tangent is:
tan (Θ) = opposite / adjacent
The general form for sine is:
sin (Θ) = opposite / hypotenuse
For our given triangle, let's solve for x.
tan (30) = 17 / x
x * tan(30) = (17 / x) * x
x tan(30) = 17
x tan(30) * ( 1 / tan(30) ) = 17 * ( 1 / tan(30) )
x = 17 / tan(30)
x = 29.44
Now, let's solve for y.
sin (30) = 17 / y
y * sin(30) = (17 / y ) * y
y sin (30) = 17
y sin (30) * ( 1 / sin(30) ) = 17 * ( 1 / sin(30) )
y = 17 / sin(30)
y = 34
Hence, the values of x and y in our triangle are as follows:
x = 29.44
y = 34
Cheers.
