Solve for the specified value of the following right triangle.

Question

If B = 16.9° and c = 7.55 cm, find b.

 

2.29 cm

 

2.19 cm

7.22 cm

1.29 cm

Answer 1

Given that we have a right triangle, and that side b is opposite angle B, and c is the hypotenuse:

 

sin(16.9^o) = b/c = b/7.55 cm

(7.55)*sin(16.9^o) = b = 2.19 cm