Question

In ΔGHI, h = 340 cm, g = 740 cm and ∠G=62°. Find all possible values of ∠H, to the nearest degree.

Answer 1

24 degrees

Explanation:

see attached image

Answer 2

Explanation:

Answer: 24.0 degrees

Explanation: Using the Law of Sines, you can set up a ratio of

`(sin(62))/(740) = (sin(H))/(340)` to find angle H. After solving for angle H through cross multiplication, you get
`H = sin^(-1) ((sin(62) * 340)/(740))`. Then, solving for H, you get a value of 24.0. To find all other cases, you can do 180-24.0, which results in 156.0 degrees. However, when you add 156.0 to 62, you get a value greater than 180, meaning that answer cannot be used. So, your final and only answer is 24.0. Hope this helped!