Question

The transformer (grey box) on this power line is how far above the ground?

Answer 1

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,

$\text{Base} ^{2}+ Height ^{2}= Hypotenuse ^{2}$

$12^2+x^2=30^2$

$144+x^2=900$

Subtract 144  on both sides of the equation.

$x^2=900-144$

$x^2=756$

Taking square root on both sides.

$x=27.5$

Hence the transformer is 27.5 ft above the ground.