Question

The height of pole AB = 8 m. Its shadow on the ground is BC = 6 m.

∴ AC = ______

Options

• 9 m

• 10 m

• 11 m

• 12 m

Answer 1

AC = 10 m

Explanation:

We have a right-angled triangle ΔABC.

AB = 8 m (height of pole)

BC = 6 m (shadow on the ground)

Using Pythagoras theorem:

AC² = AB² + BC²

AC² = 8² + 6²

AC² = 64 + 36

AC² = 100

AC = `sqrt(100)`

AC = 10