The measure of the angle x or the value of the x is 53.13 degrees if an interior designer is sketching a rough outline of a corner room of an office building.
<h3>What is the triangle?</h3>
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is given that:
The area of triangle A = 1728 square feet
The base length of the triangle b = 72 feet
Let h be the height of the triangle
Area = (1/2)b×h
1728 = (1/2)72×h
h = 48 feet
Half of the 72 is 72/2 = 36
As we know,
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying trigonometric ratio:
tan(x) = 48/36
tan(x) = 1.333
x = 53.13 degrees
Thus, the measure of the angle x or the value of the x is 53.13 degrees if an interior designer is sketching a rough outline of a corner room of an office building.
Learn more about the triangle here:
brainly.com/question/25813512
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