Question

Find the missing value to the nearest hundredth.

sin ___ = 7/12 (1 point)
35.69°
30.26°
80.16°
54.31°

Answer 1

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

Answer 2

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.