Question

Hello:) anyone able to help with 7? Thank you!

Answer 1

Angle of depression from C to T measures approximately
`20.52^o`

Explanation:

To start, we use triangle DTA to find the length of the side AT, making use of the tangent function:

`tan(23^o)=(AT)/(28\,m) \\AT=tan(23^o)\,* 28\,m\\AT=11.89\,m`

Now we need to find the size of the rectangular land diagonal:

`diagonal=√(28^2+15^2)=31.76\,m`

With this information, we can now find the measure of angle "C" (depression angle from C to T), using the triangle ACT:

`tan(C)=(opposite)/(adjacent) \\tan(C)=(11.89)/(31.76)\\C=arctan((11.89)/(31.76))\\C=20.52^o`