Question

Let angle H be an acute angle and sin H = 0.68 . Use technology to approximate the measure of H to the nearest 10th of a degree.

Answer 1

Answer: 42.8º

Step-by-step explanation

`\sin(H)=0.68`

Using a scientific calculator, we can get the inverse of the sine function on both sides:

`\sin^(-1)\sin(H)=\sin^(-1)(0.68)`
`\sin^(-1)\sin(H)=\sin^(-1)(0.68)`

Simplifying:

`H=\sin^(-1)0.68`
`H\approx42.8\degree`