The transformer is 27.5 ft above the ground.
Solution:
The given image is like a triangle.
Angle 'L' represents the triangle is right triangle.
Use Pythagoras theorem to find the answer.
Base of the triangle = 12 ft
Hypotenuse of the triangle = 30 ft
Height of the triangle = x
Using Pythagoras theorem,
[tex]\text{Base} $^{2}+$ Height $^{2}=$ Hypotenuse $^{2}$[/tex]
[tex]12^2+x^2=30^2[/tex]
[tex]144+x^2=900[/tex]
Subtract 144 on both sides of the equation.
[tex]x^2=900-144[/tex]
[tex]x^2=756[/tex]
Taking square root on both sides.
[tex]x=27.5[/tex]
Hence the transformer is 27.5 ft above the ground.
