Rashaad leans a 22-foot ladder against a wall so that it forms an angle of \( 65^{\circ} \) with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

To find out how high the ladder reaches up the wall, you can use some trigonometry! Specifically, you'll want to use the sine function, which relates the angle to the opposite side (the height on the wall) and the hypotenuse (the length of the ladder). The formula is: \[ \text{Height} = \text{Ladder length} \times \sin(\text{angle}) \] Here, the ladder length is 22 feet and the angle is \( 65^{\circ} \): \[ \text{Height} = 22 \times \sin(65^{\circ}) \] Calculating the sine of \( 65^{\circ} \) gives approximately 0.9063. Now plug in the values: \[ \text{Height} \approx 22 \times 0.9063 \approx 19.93 \text{ feet} \] So the ladder reaches approximately 19.93 feet up the wall! For a visual twist, imagine your ladder is a superhero, scaling the wall to save a kitten! Just be sure to check the angle next time you put it to heroic use!