Question

The length of a shadow of a building is 29m. The distance from the top of the building to the tip of the shadow is 36m. Find the height of the building. If necessary, round your answer to the nearest tenth.

Answer 1

The height of building is 21 m

Explanation:

According to the Pythagorus Theorem

(Hypotenuse)² = (Base)² + (Perpendicular)²

We need to find out the perpendiclar so arranging the equation

(Hypotenuse)² - (Base)² = (Perpendicular)²

Putting the values

(36)² - (29)² = (Perpendicular)²

1296 - 841 = (Perpendicular)²

455 = (Perpendicular)²

Taking Square root on both sides

√455 = √(Perpendicular)²

21.33 = Perpendicular

Rounding off the value is 21 m