Question

Find the angle in this diagram, accurate to the nearest minute. i do not understand this question some clarity would be great

Answer 1

θ = 18°27'

Explanation:

As the hint says, you need to calculate CE using the triangles ΔABC and ΔBDE.

Using segment addition, CE = CB + BE. So first use trigonometry to find these segments.

First, let's find CB.

sin 22° = CB / 4.882

CB = 1.8288

Next, let's find BE.

cos 22° = AB / 4.882

AB = 4.5265

BD = AB − 1.975

BD = 2.5515

tan 48° = BE / BD

BE = 2.8337

Now we can find CE and θ.

CE = CB + BE

CE = 4.6626

cos θ = CE / 4.915

θ = 18.443°

A minute is 1/60th of a degree.

0.443° × (60 '/°) = 27'

So θ = 18°27'.