Two similar triangles have a scale factor of 3: 5. the altitude of the larger trangle is 24 inches. what is the altitude of the smaller triangle ?

The altitude of the smaller triangle will be given as follows:
let the altitude of the smaller triangle be x
scale factor of small to large triangle is 3:5
but
scale factor=(length of small Δ)/(length of large Δ)
plugging in our values we get:
3/5=x/24
solving for x we get:
x=3/5×24
x=14.4 inches

14.4 inches