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2 answers:
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The purple line is tangent. Tangent line intersects a circle in only 1 point
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
The light blue line is secant. Secant line intersects a circle in 2 points
The red line is the radius. Radius is the distance from center to the outer rim of the circle.
The green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
Answer:
Please see attached image for the sketch with the labels.
Length "x" of the ramp = 11.70 ft
Step-by-step explanation:
Notice that the geometry to represent the ramp is a right angle triangle, for which we know one of its acute angles (), and the size of the side opposite to it (4 ft). Our unknown is the hypotenuse "x" of this right angle triangle, which is the actual ramp length we need to find.
For this, we use the the "sin" function of an angle in the triangle, which is defined as the quotient between the side opposite to the angle, divided by the hypotenuse, and then solve for the unknown "x" in the equation:
Therefore the length of the ramp rounded to the nearest hundredth as requested is: 11.70 ft
