Respuesta :
Answer:
Height of the sail is 9 feet.
Step-by-step explanation:
Since sail is in the shape of a triangle and the formula of a triangle is
Area = (1/2)×Base×Height
Area of the sail has been given in the question and we have to calculate the height of the sail.
40.5 = (1/2)× Height× Height ( since base = height)
40.5×2 = height² = 81
height = √81 = 9 feet.
The area of the sail depends on its base and height. The height of the sail is 9 feet.
What is the area of the triangle?
The area of a triangle is defined as the total region that is enclosed by the three sides of a triangle.
Given that area, A of the sail is 40 1/2 square feet and the base b and height h of the sail are equal.
Since the shape of a sail is triangular, hence the area is calculated by the formula of the area of the triangle.
[tex]A = \dfrac {1}{2} \times b\times h[/tex]
A = 81/2 and b = h, so
[tex]\dfrac {81}{2} = \dfrac {1}{2} \times h\times h[/tex]
[tex]h^2 = 81[/tex]
[tex]h = 9 \;\rm feet[/tex]
Hence we can conclude that the height of the sail is 9 feet.
To know more about the area of the triangle, follow the link given below.
https://brainly.com/question/15442893.
