in which triangle is the value of x equal to tan⁻¹(3.1/5.2)? (images may not be drawn to scale.)
in which triangle is the value of x equal to tan⁻¹(3.1/5.2)? (images may not be drawn to scale.)
Answer
Answer:
The second triangle (with side - lengths 3.1 and 5.2 where 3.1 is the adjacent side and 5.2 is the opposite side to angle (x))
Explanation:
Step1: Recall tangent formula
The tangent of an angle (\theta) in a right - triangle is defined as (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}).
Step2: Analyze the inverse - tangent expression
We have (x = \tan^{-1}(\frac{3.1}{5.2})), which means (\tan x=\frac{3.1}{5.2}). So the side opposite to angle (x) has length 3.1 and the side adjacent to angle (x) has length 5.2. This matches the second triangle.