a lader is leaning against a jouse and is forming a 60 degree angle with the ground.

if the top of the ladder is 24 feet off of the gound, how long is the ladder? leave your answer in exact form.

1 answer

looks like routine trig

sin 60ΒΊ = 24/h
h = 24/sin60
= 24/(√3/2) from the 30-60-90 triangle ratios
= 48/√3
= 16√3 after rationalizing the denominator