Answered

What values for A, make the following statement true? sin A = 0.8



Select one:


A53°, 307°


B37°, 143°


C539,1270


D53º, 233°

Verified Answer :

1nfinity

Answer:

a. 53°, 307°

Step-by-step explanation:

Okay, let's work through this step-by-step:

1) We are given that sin(A) = 0.8.

2) To find the values of A that satisfy this equation, we need to take the inverse sine (arcsin) of 0.8.

3) The inverse sine function gives us two possible angles:

arcsin(0.8) ≈ 53.13° and 180° - 53.13° = 126.87°

4) Therefore, the values of A that make the statement true are:

a) 53° and 307°

This is the correct answer, as 53° and 307° are the only options provided that satisfy the given condition of sin(A) = 0.8.

The other options are incorrect:

b) 37° and 143° do not have a sine value of 0.8.

c) 539° and 1270° are not valid angle values.

d) 53° and 233° do not have a sine value of 0.8.

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