Answer:
The other angle is [tex]53.1\°[/tex]
Step-by-step explanation:
we know that
A right triangle has a right angle and the other two angles are complementary
Let
[tex]\phi[/tex] ------> one of the two angles that are complementary
[tex]\alpha[/tex] ----> the second of the two angles that are complementary
remember that
[tex]\phi+\alpha=90\°[/tex]
Find the value of angle [tex]\phi[/tex]
[tex]\phi=arcsin(3/5)=36.9\°[/tex] -----> using a calculator
Find the value of angle [tex]\alpha[/tex]
[tex]36.9\°+\alpha=90\°[/tex]
[tex]\alpha=90\°-36.9\°=53.1\°[/tex]
