contestada

In a right triangle ABC, angle C is a right angle and cos B =255/257.

What is the measure or angle A?

A)7.2 degrees

B)83.2 degrees

C)82.8 degrees

D)90.0 degrees

Respuesta :

Answer:

C

Step-by-step explanation:

Given

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{A B}[/tex] = [tex]\frac{255}{257}[/tex]

Then the hypotenuse AB = 257 and BC = 255

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{255}{257}[/tex]

A = [tex]sin^{-1}[/tex] ([tex]\frac{255}{257}[/tex]) = 82.8° → C

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