A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point that is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?

Angle A = 62°
Angle B = 90°
Side a = 45
The length of the board is side b

Use the Law of Sines to find side b. 
b / sin(B) = a / sin(A) 
b / sin(90°) = 45 / sin(62°) 
b = (sin(90°) x 45) / sin(62°) 
b = 50.966

Rounded to the nearest inch is 51 inches.

Hope this helps!