Question

Guys im so desperate right now please help me

Right triangle ABC is similar to Right triangle XYZ. The value of cosB = 5/13. What is the value of sin Y?

Answer 1

if sin B = sin Y then sin Y = 12/13

Explanation:

Triangle ABC is similar to Triangle XYZ

Let angle C be the right angle

Cosine of B is equal to 5/13

Cos B = adjacent/hypotenuse = 5/13

NOTE = below is the lowercase letters that represent the side lengths, not the angles

Adjacent (length of a) = 5 <-- given

Hypotenuse (length of c) = 13 <-- given

Opposide (length of b) = a^2 + b^2 = c^2 --> 5^2 + b^2 = 13^2 --> b = 12

sin B = sin Y

sin B = opp/hyp = 12/13

if sin B = sin Y then sin Y = 12/13