Question

3. A ladder is standing on horizontal ground and rests against a vertical

wall. The ladder is 4.5 m long and its foot is 1.6 m from the wall.
Calculate how far up the wall the ladder will reach. Round your
answer to three decimal places.
(Show your working)

Answer 1

4.206 m

Explanation:

`a^(2) +b^(2) =c^(2) \\a^(2) +1.6^(2)=4.5^(2)\\a^(2)+2.56=20.25\\20.25-2.56=17.69\\\sqrt{a^(2)}=√(17.69)\\a=4.205948169\\rounded: a=4.206`