SOLUTION: you are standing at the top of a 500m tall building. across the street is a shorter building. at ground level, the two buildings are 50 meters apart, and if you measure the angle o

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Question 1004151: you are standing at the top of a 500m tall building. across the street is a shorter building. at ground level, the two buildings are 50 meters apart, and if you measure the angle of depression from the top of your building to the nearest edge of the shorter building, you get an angle of pi/6. how tall is the other building?
a) 500 - 50 sqrt 2 meters
b) 500 - 50/sqrt 2 meters
c) 500 - 25/sqrt 2 meters
d) 500-50/sqrt 3 meters
e) 500 - 25 sqrt 2 meters
f) 500 - 50 sqrt 3 meters

Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949) About Me  (Show Source):
Answer by ikleyn(53742) About Me  (Show Source):
You can put this solution on YOUR website!
.
you are standing at the top of a 500m tall building. across the street is a shorter building.
at ground level, the two buildings are 50 meters apart, and if you measure the angle of depression
from the top of your building to the nearest edge of the shorter building, you get an angle of pi/6.
how tall is the other building?
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The answer in the post by @mananth,  500+-+50%2Asqrt%283%29,  is  INCORRECT.

The correct answer is   meters.

Option  (d).



Answer by josgarithmetic(39790) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing used on paper but

the other building tallness, 500-50%2Atan%28pi%2F6%29