Question

Using PYTHAGORAS THEOREM answer the question A vertical pillar ab bent at c at a height of 2.4m and its upper end b touches the ground at d at a distance of 1.8m from the end a on the ground find the height of the pillar ab

Answer 1

5.4 m

Explanation:

The Pythagorean theorem tells you the relationship between the various lengths is ...

cd² = ac² +ad²

cd² = (2.4 m)² + (1.8 m)² = 9.00 m²

cd = √(9.00 m²) = 3.0 m

Since cd = cb and ab = ac+cb, we have ...

ab = 2.4 m + 3.0 m = 5.4 m

_____

You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...

0.6·(4+5) = 5.4