Question

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 1

3.656 ft

Round as needed

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