Solution

Think about the problem.

Reread the problem and analyze the diagram.

Make your plan.

The box length is also the side of a right triangle. One angle in the triangle is 56^o. You can use a trigonometric ratio to find FG, but first you have to know the length of either AF or AG. You know AD is 1600 mm and FD is 600 mm, so you can subtract to find the length of AF.

Solve the problem.

Find the length of AF.>

1600 mm - 600 mm = 1000 mm, so AF is 1000 mm long.

Find the length of FG.

You know the size of one angle, 56^o, and the length of the adjacent side, 1000 mm. You need to know the length of the side opposite the 56^o angle.

The tangent relates opposite and adjacent sides.

tan 56^o= opp/adj = FG/AF = FG/1000

FG = 1.4826 x 1000 = 1482.6 mm

The length of FG is 1.4826 m long.

Look Back.

You have found the length of the box, as you were asked to do. The answer 1482 mm seems reasonable when you compare this length on the diagram with the 600 mm height.

AF = 1600 - 600 = 1000 mm

Calculator check shows answer to be correct:

1.4826   = 56

Look Ahead.

Now that you know the lengths of AF and FG, what other diagram dimensions could you calculate?.