Answer:
[tex]m\angle H = 44.4\°[/tex].
Step-by-step 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,
[tex]sin \ H = \frac{Oppsite\ side\ to\ \angle H}{Hypotenuse}[/tex]
Substituting the values we get;
[tex]sin\ H = \frac{7}{10} = 0.7[/tex]
Now taking [tex]sin^{-1}[/tex] we get;
[tex]\angle H = sin^{-1}\ 0.7 = 44.427[/tex]
rounding to nearest tenth we get.
[tex]m\angle H = 44.4\°[/tex].
Hence [tex]m\angle H = 44.4\°[/tex].
