Right triangle ABC has a right angle at ∠B and the following measures: AB=37, m∠C=65°, and m∠A=25°.

If BC=m, what is the value of m?

A) 40.82
B) 17.25
C) 37
D) 79.35

option B is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine m, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 65 = 37/m

m = 37/Tan65

m = 37/2.1445

m = 17.25