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noname [10]
3 years ago
13

There is an antenna on the top of a building. From a location 300 feet from the base of the building, the angle of elevation to

the top of the building is measured to be 40°. 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.
Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

Answer:

Height of the antenna = 28 ft (Approx)

Given:

Length of base = 300 ft

Angle of elevation to the building = 40°

Angle of elevation to the antenna = 43°

Find:

Height of the antenna

Computation:

Using trigonometry function:

Tan40° = Height of building / Length of base

Height of building = 251.73 ft

Tan43° = [Height of building + Height of the antenna]  / Length of base

0.9325 = [251.73 + Height of the antenna] / 300

Height of the antenna = 28.02 ft

Height of the antenna = 28 ft (Approx)

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