Question

PLEASE HELP!!
A ladder, 500 cm long, leans against a building. If the angle between the ground and the ladder is 57 degrees, how far from the wall is the bottom of the ladder? Round the answer to the nearest tenth.

Answer 1

Apply Trig Ratios:

\(\sf \Large tan\ \theta=\frac{opposite}{adjacent}\)

\(\sf \Large cos\ \theta=\frac{adjacent}{hypotenuse}\)

\(\sf \Large sin\ \theta=\frac{opposite}{hypotenuse}\)

Answer 2

From trig rules : \[\cos = \frac{ adjacent }{ hypotenus }\]
So using this and from the fig :
\[\cos(57) = \frac{ x }{ 500 }\]
which simply means that x = 500 cos(57) = 272.3195175 which are able to round it with required
Let me know if you got it :)