Answer:
4.8 feet
Step-by-step explanation:
Since length and width of base is 3 and 2 respectively, we find the diagonal of the base with pythagorean theorem.
This hypotenuse is the base of a triangle with height as the height of the prism and hypotenuse being the hypotenuse of the prism.
So we can again use pythagorean theorem to solve for the height of the prism (let height of prism be x)
To the nearest tenth, height is 4.8 feet
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 , height of tree as
, 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 () = 12.844 ft
y = 23.45 * sin () = 19.620 ft
Hence distance of tree from Alexa = 12.844 ft
Height of tree = y +
= 19.620 +
Perimeter of triangle = X + Y + 23.45 ft
= 12.844 ft +19.620 ft + 23.45 ft
= 55.914 ft
