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.

Question

asked May 16, 2023 196k views

1 Answer

Kevinkayaks · Answer 1 · 2023-05-20T05:56:23+0000

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:

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