Given question is incorrect; here is the complete question.
"Which of the following is a correct tangent ratio for the figure attached"
A) tan(76°) = [tex]\frac{24}{8}[/tex]
B) tan (76°) = [tex]\frac{8}{24}[/tex]
C) tan (24°) = [tex]\frac{76}{8}[/tex]
D) tan (8°) = [tex]\frac{24}{76}[/tex]
Option A will be the correct option.
From the figure attached,
- Given triangle is a right triangle.
- Measure of one angle = 76°
- Measure of two sides of the triangle are 24 and 8units.
By applying tangent ratio of angle having measure 76°.
tan(76°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{24}{8}[/tex]
Therefore, Option (A) is the correct option.
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