Respuesta :
Answer:
38.11 feet
Step-by-step explanation:
all three corners of an equilateral triangle are 60°
sin 60° = 33/x
0.8660 =33/x
x = 38.11 feet
Relation between the side and the altitude of the equilateral triangle can be given as,
[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]
The length of the side of the equilateral triangle is 38.105 feet.
What is equilateral triangle?
When all the three sides and all the three angle of a triangle are equal, then the triangle is known as Equilateral triangle.
Relation between the side and the altitude of the equilateral triangle can be given as,
[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]
Here, [tex]a[/tex] is the side of the equilateral triangle and h is the altitude of the equilateral triangle
Given information-
Altitude of the equilateral triangle is 33 feet.
Put the value of altitude in above formula to find the length of the side of the equilateral triangle. Thus,
[tex]a=\dfrac{2}{\sqrt{3} } \times33\\a=38.105[/tex]
Thus the length of the side of the equilateral triangle is 38.105 feet.
Learn more about the equilateral triangle here;
https://brainly.com/question/17264112