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

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$