Hello, dalbir4444!
The CN Tower is 553 m tall.
A person is south of the tower at a position that makes
an angle of elevation of 10° to the top of the tower.
A second person is on a bearing of 060 degrees relative to the tower,
observing the top of the tower at an angle of elevation of 9°.
Determine the displacement between the two people.
Looking down at the ground, we have this diagram: Code:
N o B
: */
:60°* /
: *y /
T o /
| /
x | /
|/
A o
The tower is at T.
The first observer is at A; the second is at B.
Let
Law of Cosines: . .[1]
The observer at A has this right triangle: Code:
*
* |
* | 553
* 10° |
* - - - - - *
x
We have: . .[2]
The observer at B has this right triangle: Code:
*
| *
553 | *
| 9° *
* - - - - - *
y
We have: . .[3]
Substitute [2] and [3] into [1]:
. .
Go for it!