there is an antenna on the top of a building. From a location 300 ft from the base of the building, the angle of elevation to the top of the building is measured to be 40 degrees. From the same location the angle of elevation to the top of the antenna is measured to be 43 degrees. find the height of the antenna

Question

Mathematics

Anastasia Christensen

24 July, 06:31

there is an antenna on the top of a building. From a location 300 ft from the base of the building, the angle of elevation to the top of the building is measured to be 40 degrees. From the same location the angle of elevation to the top of the antenna is measured to be 43 degrees. find the height of the antenna

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Aleah Pierce · Answer 1

300tan43 - 300tan40

Step-by-step explanation:

Use tangent to find the height of the building:

tan40 = b/300

b = 300tan40

The use tangent to find the height to the top of the antenna:

tan43 = a/300

a = 300tan43

The antenna height = a - b