Answer:
48.81
Step-by-step explanation:
Since we are given a right triangle, and we are trying to find a angle, we use the
SOH-CAH- TOA.
In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.
We use Tangent, which states that
[tex] \tan(x) = \frac{o}{a} [/tex]
Here the opposite side is 8
The adjacent side is 7.
[tex] \tan(x) = \frac{8}{7} [/tex]
Take the Inverse Tangent,
[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
Which gives us 48.81
Answer:
∠ A ≈ 48.81°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] ) ≈ 48.81° ( to the nearest hundredth )
