Using trigonometry, we can use the sine function to solve for the distance from the base of the ladder to the house:
sin(75 degrees) = opposite/hypotenuse
We know the hypotenuse (ladder) is 23 feet, so we can solve for the opposite (distance from house):
sin(75 degrees) = opposite/23
opposite = 23*sin(75 degrees)
opposite = 22.36 feet
Rounded to the nearest hundredths, the distance from the house should be 22.36 feet.
The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 23 foot
ladder. How far from the house should you place the base of the ladder? Round to the hundredths..
(2 decimal places)
3 answers
The bot found how far up the wall the ladder is placed.
That was not the question
That was not the question
I apologize for the mistake. To find how far from the house the base of the ladder should be placed, we can use the cosine function:
cos(75 degrees) = adjacent/hypotenuse
We know the hypotenuse (ladder) is 23 feet, so we can solve for the adjacent (distance from house):
cos(75 degrees) = adjacent/23
adjacent = 23*cos(75 degrees)
adjacent = 5.84 feet
Rounded to the nearest hundredths, the distance from the house should be 5.84 feet.
cos(75 degrees) = adjacent/hypotenuse
We know the hypotenuse (ladder) is 23 feet, so we can solve for the adjacent (distance from house):
cos(75 degrees) = adjacent/23
adjacent = 23*cos(75 degrees)
adjacent = 5.84 feet
Rounded to the nearest hundredths, the distance from the house should be 5.84 feet.