Question

A ladder which is 6.7 m long is placed on the ground 2.8 m from a vertical wall and then leaned over to the wall. How high up the wall can the ladder reach? Give your answer rounded to 1 DP.

Answer 1

6.1 m

Explanation:

Always draw a diagram! And now pythagorean theorem. a^2 + b^2 = c^2

Substitution:

a^2 + 2.8^2 = 6.7^2

a^2 + 7.84 = 44.89

a^2 = 37.05

a = 6.086...

Rounding up to one decimal point, thats 6.1 m