Answer:
Distance between Alexa and tree = 12.844 ft
Height of tree = 19.620 + height of eyesight from ground
Perimeter of triangle formed = 55.914 ft
Step-by-step explanation:
From the given data, the attached image is drawn ( refer attachment)
Assume
Height of eye line as [tex]h_{A}[/tex], height of tree as [tex]h_{T}[/tex], distance of tree from Alexa as X and vertical distance between eye line and top of tree is y.
To find: distance of tree from Alexa
consider triangle ATE. Here
X = 23.45 * cos ([tex]56.789^{o}[/tex]) = 12.844 ft
y = 23.45 * sin ([tex]56.789^{o}[/tex]) = 19.620 ft
Hence distance of tree from Alexa = 12.844 ft
Height of tree [tex]h_{T}[/tex] = y + [tex]h_{A}[/tex]
= 19.620 + [tex]h_{A}[/tex]
Perimeter of triangle = X + Y + 23.45 ft
= 12.844 ft +19.620 ft + 23.45 ft
= 55.914 ft
