Find the missing value to the nearest hundredth.


sin ___ = 7/12 (1 point)

35.69°

30.26°

80.16°

54.31°

Verified Answer :

sin x = 7/12
x = arcsin (7/12) = 35.69°

Answer:

(A)

Step-by-step explanation:

Given: sin ___ = 7/12

To find: The missing angle of sine.

Solution: Let the missing angle be A, then the given equation can be written as:

\(sinA=\frac{7}{12}\)

Taking sin inverse on both sides, get

\(A=sin^{-1}\frac{7}{12}\)

\(A=sin^{-1}(0.583)\)

\(A=35.69^{\circ}\)

Therefore, value of the missing angle is \(35.69^{\circ}\), thus option A is correct.