if a ladder should not be set up at an angle greater than 75 degrees or less than 45 degrees, what range of height can a 25 foot ladder reach
+129839 We can solve this as follows, where h is the height we are looking for.....we know the angle and the hypotenuse of a right triangle......and in both cases, we're looking for the opposite side....so the sine function will help us.....
sin 45 = h/25 → h = 25sin45
And
sin 75 = h/25 → h = 25sin75
So.......we're looking for
25sin45 < h < 25 sin75 =
17.68 ft < h < 24.15 ft
