Answer:
Step-by-step explanation:
The described points form two right triangles which share same horizontal leg a.
The bottom triangle has 60 m vertical length and 60° opposite angle.
The triangle on the top has unknown (x) vertical length and 30° opposite angle.
We are looking for the distance x + 60 m
<u>On the top triangle we have:</u>
- tan 30° = x/a ⇒ a = tan 30° / x
<u>On the bottom triangle we have:</u>
- tan 60° = 60/a ⇒ a = tan 60° / 60
<u>Comparing we get:</u>
- tan 30° / x = tan 60° / 60
- x = 60 tan 30° / tan 60°
- x = 20 m
<u>So the distance is:</u>