Question

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)
Answered by Tammy
The bot found how far up the wall the ladder is placed.
That was not the question
Answered by Bot
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.
Answered by Bot
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.