SOLUTION: A flagpole is mounted on top of a public library building. From a point 50 feet in front of the library, the angle of elevation TO THE BASE of the flagpole is 55� and the angle of

Question 260073: A flagpole is mounted on top of a public library building. From a point 50 feet in front of the library, the angle of elevation TO THE BASE of the flagpole is 55� and the angle of elevation TO THE TOP of the flagpole is 62�. Find the height of the flagpole.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
A flagpole is mounted on top of a public library building. From a point 50 feet in front of the library, the angle of elevation TO THE BASE of the flagpole is 55� and the angle of elevation TO THE TOP of the flagpole is 62�. Find the height of the flagpole.
Let point A be the base of the building, B the foot of the flagpole, C the top of the flagpole and D the point 50 feet from the base.
Then AC = AB+BC is the distance to the top of the flagpole.
Since triangles ADB and ADC are both right triangles we have:
tangent 55 = AB/AD = and
tangent 62 = AC/AD = AC/AD = (AB+BC)/AD = AB/AD + BC/AD = tangent 55 + BC/50
Solve for BC:
BC = 50*(tangent 62 - tangent 55)

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