# geometry

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chung ho is standing on the top of a building that is 135m tall. The angle of depression to the top of the building next door is 71 degrees. The angle to the base of the building is 77 degrees. The buildings are 31m apart. How tall is the other building?

• geometry -

if the height is h,

(135-h)/31 = tan 19°

it doesn't really matter what the angle to the base is, but we'd better have tan 77° = 135/31

• geometry - correction -

(135-h)/31 = tan 71°
h = 44.96
probably use h=45m

135-45 = 90
90/31 = 2.90 = tan 71°

• geometry -

ok ty

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