Posted by **mier** on Sunday, March 9, 2014 at 8:49pm.

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.

- MATH TRIGO-PLSSS ANSWER CLEARLY COZ IM VERY LOW IN -
**Steve**, Monday, March 10, 2014 at 5:27am
Draw a diagram. Let

T be the top of the tower

M be the top of the monument

A be the base of the tower

B be the base of the monument

∠TBA = 31°

so, 145/TB = sin 31°

Since

∠TBM = 59°

∠MTB = 18°,

∠TMB = 103°

The desired height (MB) is found by

MB/sin18° = TB/sin103°

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