The height of the antenna + the building is 400 tan 43°.
The height of the building to the base of the antenna is 400 tan 36°.
The height of the antenna is the difference between these 2 values.
Artavius J.
asked • 09/24/19find the height of the antenna
There is an antenna on the top of a building. From a location 400 feet from the base of the building, the angle of elevation to the top of the building is measured to be 36°. From the same location, the angle of elevation to the top of the antenna is measured to be 43°. Find the height of the antenna. (Round your answer to three decimal places.)
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2 Answers By Expert Tutors
Mark M. answered • 09/24/19
Tutor
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Mathematics Teacher - NCLB Highly Qualified
Draw and label of diagram.
Label the height of the building b.
Label the height of the antenna a
tan 36° = b / 400
tan 43° = (b + a) / 400
Can you solve for a and answer?
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