Question

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

Answer 1

Answer:

C

Step-by-step explanation:

Given

cosB = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{A B}$ = $\frac{255}{257}$

Then the hypotenuse AB = 257 and BC = 255

sinA = $\frac{opposite}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{255}{257}$

A = $sin^{-1}$ ($\frac{255}{257}$) = 82.8° → C