Answer to Question #290891 in Quantum Mechanics for frank26m

Question

You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that his building is half again as tall as yours. To resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, while your line of sight to the base of the other building makes an angle of 52° below the horizontal. Determine the ratio of the height of the taller building to the height of the shorter building. State whether your friend is right or wrong.

Answer 1

$H_1=l\tan 21°,$

$H_2=l\tan 52°=h,$

$H=H_1+H_2,$

$\frac Hh=\frac{\tan 21°+\tan 52°}{\tan 52°}=1.3.$

It is wrong.