Question

Find m∠H
What does m∠H happened to equal​

Answer 1

`m\angle H = 30^o`

Explanation:

Given

See attachment

Required

Find
`m\angle H`

To calculate
`m\angle H`, we make use of:

`\cos(\theta) = (Adjacent)/(Hypotenuse)`

So, we have:

`\cos(H) = (GH)/(HI)`

This gives:

`\cos(H) = (10\sqrt3)/(20)`

`\cos(H) = (\sqrt3)/(2)`

Take arccos of both sides

`m\angle H = cos^(-1)((\sqrt3)/(2))`

`m\angle H = 30^o`