Question

A hydro pole casts a shadow that is 10 m long along the ground. A technician measures the wire that runs from the top of the pole to the end of the shadow and finds it to be 26 m. How tall is the pole?

a) 10 m
b) 16 m
c) 26 m
d) 36 m

Answer 1

The height of the pole is 26 m.

Step-by-step explanation:

To find the height of the pole, we can use similar triangles. The shadow of the pole is 10 m long, and the wire from the top of the pole to the end of the shadow is 26 m long. The ratio of the height of the pole to the length of the shadow is equal to the ratio of the length of the wire to its shadow. So, we have:

height of pole / length of shadow = length of wire / length of shadow

Simplifying this equation, we get:

height of pole = (length of wire / length of shadow) * length of shadow

Plugging in the given values, we get:

height of pole = (26 m / 10 m) * 10 m = 26 m

Therefore, the height of the pole is 26 m.