SOLUTION: From a point on level ground, the angles of elevation of the top and the bottom of an antenna standing on top of a building are 32.5˚ and 26.3˚, respectively. If the buil
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Question 1109829: From a point on level ground, the angles of elevation of the top and the bottom of an antenna standing on top of a building are 32.5˚ and 26.3˚, respectively. If the building is 136 ft. high, how tall is the antenna?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Observation ground point, bottom of antenna, top of antenna, form a triangle.
6.2 degrees at observation point, 63.8 degree at top of antenna, 110 degree at bottom of antenna.
Two other, RIGHT triangles sharing distance from observation to bottom of the BUILDING. Let antenna length be h.
Smaller right triangle, let r be distance from observe point to bottom of antenna.
Let R be distance from observe to TOP of antenna. You would now know r.
Law Of Sines again, using the non-right triangle,
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You would then have computed r and R.
The angle between them is or was found when analyzing the drawn diagram, 6.2 degrees.
Use Law Of Cosines.
If y is how tall the antenna,
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