Question

a ladder 24 feet long leans against the side of a building, and the angle between the ladder and the building is 25°.
a) approximate the distance from the bottom of the ladder to the building.

b)if the distance from the bottom of the ladder to the buliding is increased by 2feet, approx how far does the top of the ladder move down the building?

Answer 1

Look at your trig functions

d/24 = cos 25°
height H/24 = sin 25°

for the 2nd part,

(d+2)^2 + h^2 = 24^2

ladder slid down H-h feet

Answer 2

21.75