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The measure of side length x in the right triangle is approximately 38.5.
The figure in the image is a right triangle with one of its interior angle at 90 degrees.
Angle A = 33 degree
Adjacent to angle A = x
Opposite to angle A = 25
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( A ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 33° ) = 25 / x
Cross multiplying, we get:
tan( 33° ) × x = 25
x = 25 / tan( 33° )
x = 38.5
Therefore, the value of x is 38.5.
Option D) 38.5 is the correct answer.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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