# Angle of Depression

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Nov 29, 2021.

1. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Section 4.8

You say?

nycmathguy, Nov 29, 2021
2. ### MathLover1

Joined:
Jun 27, 2021
Messages:
2,989
2,884
yes

MathLover1, Nov 29, 2021
nycmathguy likes this.
3. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
I promise to show my work for this and other precalculus questions but only on Friday, Saturday and Sunday moving forward.

nycmathguy, Nov 29, 2021
4. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Top of tower to ground level where cell phone user is standing 5 miles away is 120 + 800 = 920 feet.

Where did 800 feet come from?

Well, 1200 - height where cell phone user is standing.

I get 1200 - 400 = 800.

Let x = angle of depression.

tan x = 920/5

arctan[tan x ] = arctan(920/5)

x = 89.69°

Yes?

nycmathguy, Dec 3, 2021
5. ### nycmathguy

Joined:
Jun 27, 2021
Messages:
5,386
422
Top of tower to ground level where cell phone user is standing 5 miles away is 120 + 800 = 920 feet.

Where did 800 feet come from?

Well, 1200 - height where cell phone user is standing.

I get 1200 - 400 = 800.

Let x = angle of depression.

tan x = 920/5

arctan[tan x ] = arctan(920/5)

x = 89.69°

Yes?

nycmathguy, Dec 4, 2021
MathLover1 likes this.