The angle of elevation from a point on level ground to the top of a tower°4020'. The angle of
elevation of the top of the tower from a point 164 feet further back on the same horizontal line
is°2210'. Find the height of the tower.

Question

The angle of elevation from a point on level ground to the top of a tower°4020'. The angle of
elevation of the top of the tower from a point 164 feet further back on the same horizontal line
is°2210'. Find the height of the tower.

zpupster · Answer

|dw:1442435419736:dw|

tan40=h/x ; tan22.=h/(x+164)

tan40x=h   tan22(x+164) = h

tan40x=tan22x + tann22(164)
(tan40 - tan22)x=tan 122(164)  solve for x

once you have x solve for h  using tan40x=h

anonymous · Answer

Refer to the attached solution from the Mathematica 9 computer program.

anonymous · Answer

thanks

anonymous · Answer

Your welcome.