A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF DEPRESSION OF THE TOP AND BOTTOM OF THE MONUMENT VIEWED FROM THE TOP OF THE TOWER ARE 13DEGREE AND 31 DEGREE,RESPECTIVELY;THE HEIGHT OF THE TOWER IS 145 FT. FIND THE HEIGHT OF THE MONUMENT.

Answer 1

draw the figure. let h height of momnument. Let d be the distance from the bottom of the tower to the bottom of the monument.

Draw a dotted horizonal plane from the top of the monument to the tower. Let the distance from this line to the top of the tower be 145-h

from the lower triangle, d/145=sin(90-31) solve for d.
Now knowing d, look a the top triangle (base dotted line
d/(145-h)=sin((90-13) you know d, so solve for h.

Answer 2

143