Dedrea is making a bike ramp on the sidewalk in front of their house. They place a wood plank on top of blocks to form the ramp. The blocks are one foot in height, and the distance from the base of the blocks to where the wood plank touches the sidewalk is five feet. What is the approximate angle formed between the sidewalk and the base of the ramp?(1 point) Responses 11° 11° 23° 23° 79° 79° 45°
To find the angle formed between the sidewalk and the base of the ramp, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side.
In this case, the opposite side is the height of the blocks (1 foot) and the adjacent side is the distance from the base of the blocks to where the wood plank touches the sidewalk (5 feet).
So, the tangent of the angle is 1/5.
To find the angle, we can take the inverse tangent (or arctangent) of 1/5.
Using a calculator, the approximate angle is 11.31°, which is closest to 11°.
Therefore, the approximate angle formed between the sidewalk and the base of the ramp is 11°.