Answer:
Therefore the measure of∠ A is 60.07.
Step-by-step explanation:
Given:
In Right Angle Triangle ABC
∠ B = 90°
BC = 13 ....Side opposite to angle A
AC = 15 .... Hypotenuse
To Find:
m∠A = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,
[tex]\sin A = \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\[/tex]
Substituting the values we get
[tex]\sin A = \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\\A=\sin^{-1}(0.8666)=60.065\\\\m\angle A=60.07\°[/tex]
Therefore the measure of∠ A is 60.07
