Question

1. A helicopter is at a position from two VORS (VHF Omnidirectional
Radio Range, an aircraft navigation system operating in the VHF band -
not covered in chapter) as in the diagram shown below. Given the angles
shown, find the third angle.
Helicopter
74.0°
66.0°
VOR
VOR

Answer 1

The position of the helicopter and the two VORs forms a triangle and the third angle formed by these three entities is 40 degrees

The diagram is not shown; however, the question can still be answered.

The given angles are:

$\theta_1 = 74.0^o$

$\theta_2 = 66.0^o$

Represent the third angle as $\theta_3$

The helicopter and the 2 VORs form a triangle.

So, we make use of the following theorem to calculate the third angle

$\theta_1 + \theta_2 + \theta_3= 180^o$ ---- sum of angles in a triangle

Substitute known values

$74.0^o + 66.0^o + \theta_3= 180^o$

$140.0^o + \theta_3= 180^o$

Collect like terms

$\theta_3= 180 -140.0^o$

$\theta_3= 40^o$

Hence, the third angle is 40 degrees.

Learn more about angles in a triangle at:

https://brainly.com/question/14780489