a wooden beam 24 feet long leans aganist a wall and makes an angle of 71 with the ground. how high up the wall does the beam reach to the ne

Using the length of the wooden beam (24) as the hypoteneuse, and noting that we're trying to find the side opposite the 71 degree angle, we can use the sine function....so we have

sin 71 = opp /  24   multiply both sides by 24

24 * sin 71  = opp = about 22.7  ft.  ..  and that's how high up the wall the beam reaches