The area of the triangle is (A) [tex]73.6ft^{2}[/tex].
What is trigonometry?
- The study of correlations between triangles' side lengths and angles is known as trigonometry.
- The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Trigonometric area of a triangle:
Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)
Solution -
Now, out the values in the formula for the solution.
[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]
[tex]A=73.6ft^{2}[/tex]
Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].
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