Respuesta :

Hrishii

Step-by-step explanation:

[tex] \tan \angle A = \frac{BC }{AC} \\ \\ \therefore \tan \angle A = \frac{8 }{2} \\ \\ \therefore \tan \angle A = 4 \\ \\ \therefore \angle A = { \tan}^{ - 1} 4\\ \\ \therefore \angle A = { \tan}^{ - 1} tan(75.96 \degree) \\ \\ \therefore \angle A = 75.96 \degree \\ or \: \\ \angle A = 75 \degree[/tex]

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine m∠A, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan A = 8/2 = 4

∠A = Tan^-1(4)

∠A = 79.96° to the nearest hundredth.

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