The required value of angle C of the triangle is .
Given
For triangle ABC
A = 22 ft ; b = 20 ft ; c = 18 ft
Angle C = to be determined
c² =a² + b² - 2 * a * b *cosC
What are trigonometric equations?
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
a = 22 ft ; b = 20 ft ; c = 18 ft
put this values in equation c² =a² + b² - abcosC
18² = 22² + 20² - 2 * 20 * 22 * cosC
324 = 484 + 400 - 880 * cosC
cosC = (1284 - 324)/880
cosC = 0.64
C = [tex]cos^{-1}(0.64)[/tex]
C = 50.2
Thus the required value of the angle C in the triangle ABC is 50.2°.
Learn more about trigonometry equations here:
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