Question

Work out the size of the angle BEC in the cuboid below.
give your answer to 2 d.p.

Answer 1

The angle BEC is 26.57 degrees.

First, we need to find the length of the diagonal BC. We can use the Pythagorean theorem to do this:

BC^2 = 22^2 + 13^2 + 7^2 = 250

BC = sqrt(250) = 15.81 cm

Now we can use the Pythagorean theorem to find the angle BEC. Let x be the measure of angle BEC. Then:

tan(x) = 7 / 15.81

x = arctan(7 / 15.81) = 26.56 degrees

Rounding this to 2 decimal places gives us 26.57 degrees.

The angle BEC is the angle between the diagonal BC and the edge BE. It is also the angle between the face BECF and the face ABCD.