application problem: How tall is the antenna?

J

jshaziza

Junior Member
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Jan 26, 2007
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A broadcast antenna is located at the top of a building 1000 ft tall. From a point on the same horizontal plane as the base of the building, the angles of elevation of the top and bottom of the antenna are 65.8 degrees and 62.6 degrees, respectively. How tall is the antenna?

I am having trouble putting this information into a triangle with the different angles. Could someone please show me how to sketch this information and I can work it from there? Thx. for your help.
 
1) Draw a building.
2) Put an antenna on it.
3) Pick point away from the bottom of the building.
4) Construct a line segment between your ground point and the top of the building.
5) Lable the acute ground angle 62.6º
6) Construct a line segment between your ground point and the top of the antenna.
7) Lable the larger acute ground angle 65.8º
8) Lable the angle at the base of the building as a right angle.

Solve away! Let's see what you get.
 
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