Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Find m∠H.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

m∠H = °

Answer 1

`m\angle H = 44.4\°`.

Explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7 ....Side opposite to angle H

GH = 10 .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

`sin \ H = (Oppsite\ side\ to\ \angle H)/(Hypotenuse)`

Substituting the values we get;

`sin\ H = (7)/(10) = 0.7`

Now taking
`sin^(-1)` we get;

`\angle H = sin^(-1)\ 0.7 = 44.427`

rounding to nearest tenth we get.

`m\angle H = 44.4\°`.

Hence
`m\angle H = 44.4\°`.