Respuesta :
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)
The height of the antenna on top of the buildings is 28.02 feet.
The situation form 2 right angle triangle.
Therefore,
The base of the building to the location is the adjacent side of the triangle.
Using trigonometric ratio, the height of the building can be found as follows:
tan 40° = opposite / adjacent
tan 40° = h / 300
height of the building = 300 × tan 40° = 251.729889353 = 251.73 feet
The height of the building plus the antenna can be found as follows:
tan 43° = h / 300
height of the building plus the antenna = 300 × tan43
height of the building plus the antenna = 279.754525841 = 279.75
Height of the antenna = 279.75 - 251.73 = 28.02 feet
learn more on trigonometry here: https://brainly.com/question/16234735?referrer=searchResults
