While Travis and Bob were flying a hot-air balloon from Beamsville
to Vineland in south-western Ontario, they decided to calculate the
straight-line distance, to the nearest metre, between the two towns.
• From an altitude of 226 m they simultaneously measured the
angle of depression to Beamsville as 2 and to Vineland as 3
• They measured the angle between the lines of sight to the two
towns as 80
How do I draw this?

Question

While Travis and Bob were flying a hot-air balloon from Beamsville
to Vineland in south-western Ontario, they decided to calculate the
straight-line distance, to the nearest metre, between the two towns.
• From an altitude of 226 m they simultaneously measured the
angle of depression to Beamsville as 2 and to Vineland as 3
• They measured the angle between the lines of sight to the two
towns as 80 
How do I draw this?

sanoofy · Answer

@mathmale

mathmale · Answer

This part of your post is unclear:  "measured the
angle of depression to Beamsville as 2 and to Vineland as 3."  Do you mean 2 and 3 degrees or 2 and 3 radians?  Huge difference!

sanoofy · Answer

Degrees @mathmale

mathmale · Answer

|dw:1479956121355:dw|

mathmale · Answer

You need to show that the height of the plane off the ground is 226 m.
I'd suggest you either use this drawing carefully or redraw it to show that the angle between the 2 lines of sight is 80 deg.

mathmale · Answer

See the original problem statement:  "They measured ...  "

sanoofy · Answer

Wait, Im confusing myself. Im sorry. @mathmale

sanoofy · Answer

Alright, thanks, I was just stuck on the diagram. @mathmale

mathmale · Answer

Good luck!

sanoofy · Answer

Thanks! @mathmale