What is the approximate degree measure of angle B in the triangle below? Right triangle A B C is shown. Side A C has a length of 24 and hypotenuse B C has a length of 25.

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles. The ratios used to study this relationship are called trigonometric ratios, namely, sine, cosine, tangent, cotangent, secant, cosecant.

There are basic six ratios in trigonometry that help in establishing a relationship between the ratio of sides of a right triangle with the angle. If θ is the angle in a right-angled triangle, formed between the base and hypotenuse, then

sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base

given:

AC= 24, BC= 25

Now,

The opposite is the side facing the angle while the adjacent is the other third side.

Using Trigonometry

sin B = P/B

sin B= 24/25

sin B= 0.96

B= arc sin(0.96)

B= 73.739

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