Answer:
height = 13.87m
Step-by-step explanation:
From the pic, it is clear that the triangle is an equilateral triangle with sides 16m.
To find the height of the triangle draw a perpendicular bisector from the top of the triangle to the base.
Now we 2 right triangles with base 8m and side 16m and height will be the length of the perpendicular line.
Using Pythagoras theorem,
[tex]hypotenuse^2 = base^2 + height^2\\16^2 = 8^2 + height^2\\256 - 64 = height^2 \\height = \sqrt{192} = 13.866[/tex]
