A 30 foot ladder leans against a house. The angle between the base of the ladder and the ground is 83º. Find the distance from the base of the ladder to the house. (Show work!)

Answer:
3.656 ft
Round as needed
Step-by-step explanation:
cos∅ = adj/hyp
cos 83 = adj/30
multiply both sides by 30
30 * cos83 = adj
30 * 0.121869343405147 = adj
3.6560803022 = adj
≈ 3.656 ft