The angle θ for the given right triangle is equal to 0.668 rad.
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin β , cos β and tan β, where:
sin β = opposite leg / hypotenuse
cos β = adjacent leg / hypotenuse
tan β = sin β / cos β = opposite leg / adjacent leg
For finding the angle Θ, you can apply the trigonometric ratio - tan Θ . Thus,
tanΘ = opposite leg / adjacent leg = 15/19=0.78947
Θ = arctan Θ=0.668 rad
Learn more about trigonometric ratios here:
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