Question

A board is leaning against a vertical wall. The board makes a 62° 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?
24 in.

40 in.

51 in.

96 in.

Answer 1

In an imaginary triangle, length of board is hypotenuse, and perpendicular is point on the wall.

So, Sin Ф = P / H
Sin 62 = 45 / H
0.882 = 45 / H   [ Sin 62 = 0.882 ]
H = 45 / 0.882
H = 51 in

In short, Your Answer would be: Option C

Hope this helps!