Respuesta :

Answer:

m∠A = 48.81°

Step-by-step explanation:

Given triangle is a right triangle and we have to measure ∠A.

Since, opposite side and adjacent sides of angle A has been given

So we will apply tangent rule to get the measure of angle A.

tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(∠A) = [tex]\frac{8}{7}[/tex]

∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]

∠A = 48.814

  ≈ 48.81°