Geometry homework

Question

A ladder 12 m long is propped up against a building at an angle of 15 degrees. How far up the wall does the ladder go?

Answer 1

Let x = height of the top of the ladder

sin15° = x / 12

x = 12sin15° ≈ 3.1 m

Answer 2

This is a trig problem:

c=12

α=15°

γ=90°

You want side "b".

a/sinα=b/sinβ=c

12/sinγ=12

a/.2588=12; a=3.1058..........

12^2-3.11^2=134.353.............^.5=11.591..........="b".°