The value of x, y, and z are 15/2, (15√3)/2, and (15√3)/2 after applying the trigonometric ratios.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
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To find the value of x:
In right-angle triangle x-z-15:
sin30 = x/15
x = 15sin30 = 15/2
To find the value of y:
sin60 = y/x = y/(15/2)
sin60 = 2y/15
√3/2 = 2y/15
y = (15√3)/2
To find the value of z:
cos30 = z/15
√3/2 = z/15
z = (15√3)/2
Thus, the value of x, y, and z are 15/2, (15√3)/2, and (15√3)/2 after applying the trigonometric ratios.
Learn more about trigonometry here:
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