A 40 ft ladder leans against a wall so the base of the ladder is 11 feet away from the base of the wall . What angle does the ladder make with the wall?
i believe that you set it up like cos(x)= a/h
a= 11 feet
h= 40 feet
then you take the inverse cos of 11/40
The base of a right rectanglar prism is 12 cm by 8 cm. The height is 5 cm. Find its surface area.
To find the angle that the ladder makes with the wall, you can use trigonometry, specifically the tangent function (tan).
First, let's label the triangle formed by the ladder, the wall, and the ground. The ladder is the hypotenuse of the right triangle, the wall is the adjacent side, and the distance between the base of the ladder and the base of the wall is the opposite side.
Since we have the lengths of the adjacent side and the opposite side of the triangle, we can use the tangent function to find the angle.
The formula for tangent is: tan(angle) = opposite/adjacent.
In this case, the opposite side is 40 ft (length of the ladder) and the adjacent side is 11 ft (distance between the base of the ladder and the base of the wall).
So, tan(angle) = 40/11.
To find the angle, we need to take the inverse tangent (or arctan) of both sides of the equation. This will give us the measure of the angle.
Therefore, angle = arctan(40/11).
Using a calculator, we can calculate the arctan(40/11) to find the angle, which is approximately 75.96 degrees.
Therefore, the ladder makes an angle of approximately 75.96 degrees with the wall.