Answer: 0.75
Step-by-step explanation:
Cos A = 0.8 = 4/5
Note that:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Since cos = adjacent / hypotenuse
Therefore, we need to find the opposite which will be:
Hypothenuse² = Opposite² + Adjacent²
5² = Opposite² + 4²
Opposite² = 5² - 4²
Opposite² = 25 - 16
Opposite² = 9
Opposite = ✓9
Opposite = 3
Since tangent = opposite / adjacent
Tan a = 3/4 = 0.75
