Question

Find the missing value to the nearest hundredth.

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

Answer 1

(A)

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=(7)/(12)`

Taking sin inverse on both sides, get

`A=sin^(-1)(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.

Answer 2

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