trigonometry
posted by john .
A man standing 9m above the ground,observes the angle of elevation and depression of the top and bottom of Rizal monument in luneta as 6° 50' and 7° 30' respectively find the height of the monument

trigonometry 
Reiny
Sketch the situation.
On my sketch, I labeled the top of the monument as A and its bottom as B, with B on ground level
I placed the man at a point 9 m above ground at some distance away from the monument and labeled that P
I drew a horizontal from P to meet AB at Q
I now have two rightangled triangles.
In triangle BPQ, BQ=9, angle BPQ = 7.5°
tan 7.5° = 9/PQ
PQ = 9/tan 7.5° = .....
in triangle APQ,
tan 6° 50' = AQ/PQ , but we know PQ
AQ = PQ(tan 6° 50') = ......
AB = 9 + AQ = .....
Respond to this Question
Similar Questions

Algebra
A surveyor is standing 115 feet from the base of the Washington Monument. The sureyor measures the angle of elevation to the top of the monument as 78.3. How tall is the Washington Monument? 
trig
A man standing 9 meters above the ground observes the angles of elevation and depression of the top and bottom,of the top of the monument in luneta 6 degrees and 50 minutes and 7 degrees and 30 minutes respectively.Find the height … 
trig
A man standing 9 meters above the ground observes the angles of elevation and depression of the top and bottom,of the top of the monument in luneta 6 degrees and 50 minutes and 7 degrees and 30 minutes respectively.Find the height … 
trgonometry
a tower and a monumement stand on a level plane. The angles of depression of the top and bottom of monument as viewed from the top of the tower are 13 degree and 31 degree respectively. If the height of the tower is 145 ft.,find the … 
early trig
A monument stands on level ground. The angle of elevation of the top of the monument, taken at a point 425 feet from the foot of the monument, is 32º. Find the height of the monument to the nearest foot. 
math trig
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 … 
MATH TRIGOPLSSS ANSWER CLEARLY COZ IM VERY LOW IN
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 … 
Trigonometry
The angle elevation from a point A to the top of the Washington Monument is 32 degrees. From point B, which is not the same line but 55 feet closer to the monument, the angle elevation to the top is 38 degrees. Find the height of the … 
Trigonometry
The angle elevation from a point A to the top of the Washington Monument is 32'. From point B, which is on the same line but 55 feet closer to the monument, the angle of elevation to the top is 38'. Find the length of the Washington … 
math
The Washington monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet, from the base of the monument and looking at the top, find the angle of elevation to the nearest degree.