Pregunta
Rashaad leans a 22-foot ladder against a wall so that it forms an angle of
with the
ground. How high up the wall does the ladder reach? Round your answer to the nearest
hundredth of a foot if necessary.
ground. How high up the wall does the ladder reach? Round your answer to the nearest
hundredth of a foot if necessary.
Ask by Hall Reese. in the United States
Jan 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The ladder reaches approximately 18.19 feet up the wall.
Solución

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Como
Extra Insights
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:
Here, the ladder length is 22 feet and the angle is
:
Calculating the sine of
gives approximately 0.9063. Now plug in the values:
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!

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