Question

What is the correct value of b?

Answer 1

b = 6

Explanation:

`cosecant=(hypotenuse)/(opposite)\\\\\text{We have}\ opposite=3b,\ \text{and}\ hypotenuse=22.5,\ \text{and}\ \csc x=(5)/(4).\\\\\text{Substitute:}\\\\(5)/(4)=(22.5)/(3b)\qquad\text{cross multiply}\\\\(5)(3b)=(4)(22.5)\\\\15b=90\qquad\text{divide both sides by 15}\\\\b=6`