If tan A=3, what is sin A?

Question

In a right triangle, A is acute.

Answer 1

tan=opposite/adjacent

tan=3/1

Pythagorean Theorem

H^2=3^2+1^2

H^2=9+1

H^2=10

H=√10

sin=opposite/hypotenuse

sinA=3/√10

sinA=3√10/10