Asked by khalaf Albari
a window in one building, the angle of elevation to the top of a second, taller building is 38°. The angle of depression to the base of the taller building is 51°. Determine the height of the second, taller building to the nearest metre if the two buildings are 42m apart.
Answers
Answered by
mathhelper
A sketch really really helps.
On mine I drew a horizontal from the window to the taller building and
got 2 right-angled triangles
from there:
tan 51 = (height from base to window)/42
tan 38° = (height above window)/42
solve for "height from base to window" and (height above window)
then add them up
On mine I drew a horizontal from the window to the taller building and
got 2 right-angled triangles
from there:
tan 51 = (height from base to window)/42
tan 38° = (height above window)/42
solve for "height from base to window" and (height above window)
then add them up
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