Question

A phone receives signals from a transmitter that is

13 km west and 21 km south of it.
What is the bearing from the phone to the
transmitter?
Give your answer to the nearest degree.

Answer 1

301.76

Explanation:

I'll add a diagram for better understanding.

Look at the diagram

The angle with a question mark in purple is the the bearing from the phone to the transmitter.

To figure out that angle we will have to figure out the angle inside the triangle on that side and we will subtract that from 360 to find the answer.

Since this is a right angled triangle, we can use SOH CAH TOA to figure out the angle inside.

For the angle we have to figure out, 21 is the opposite and 13 is adjacent.

so we will use TOA

tan
`x\\` = O/A

tan
`x` = 21/13

tan inverse(21/13) =
`x`

`x` = 58.2405

This is the phone's angle inside the triangle
subtract this from 360 to find the bearing

360 - 58.2405 = 301.76