The value of x from the given figure will be 140.54.
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
The height of the triangle, h = 83.
From the given figure,
Tan 22° = h/ (x + y)
Tan 22° = 83/ (x + y)
(x + y) = 83 / Tan 22°
x + y = 205.44
Also,
Tan 52° = h/ (y)
Tan 52° = 83/ (y)
( 83) / Tan 52° = (y)
y = 64.89
Then,
x + y = 205.44
x = 205.44 - 64.89
x = 140.54
Hence, the value of x from the given figure will be 140.54.
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