Final answer:
To find the measure of side b in the triangle, we can use the Law of Sines. Substituting the given values and using a scientific calculator, we find that b ≈ 152 inches.
Step-by-step explanation:
To find the measure of side b, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. In this case, we can set up the equation:
b/sin(B) = c/sin(C)
Substituting the given values, we have:
b/sin(29°) = 290/sin(180°-29°-90°)
b/sin(29°) = 290/sin(61°)
Cross multiplying, we get:
b*sin(61°) = 290*sin(29°)
Dividing both sides by sin(61°), we find:
b = 290*sin(29°)/sin(61°)
Using a scientific calculator, we can find that b ≈ 152 inches.