In below, is drawn such that , and .
Is similar to ? Explain why.
The student gave a complete and correct response.
In the diagram below of is a point on , and is a point on , such that .
If , and , what is the length of ?
As modeled in the diagram below, an access ramp starts on flat ground and ends at the beginning of the top step. Each step is 6 inches tall and 8 inches deep. If the angle of elevation of the ramp is , determine and state the length of the ramp, to the nearest tenth of a foot. Determine and state, to the nearest tenth of a foot, the horizontal distance, , from the bottom of the stairs to the bottom of the ramp.
Determine and state the length of the ramp, to the nearest tenth of a foot.
Determine and state, to the nearest tenth of a foot, the horizontal distance, , from the bottom of the stairs to the bottom of the ramp.
In the diagram below of right triangle , altitude is drawn to hypotenuse , and .
Determine and state the length of .
Cathy wants to determine the height of the flagpole shown in the diagram below. She uses a survey instrument to measure the angle of elevation to the top of the flagpole, and determines it to be . She walks 8 meters closer and determines the new measure of the angle of elevation to be . At each measurement, the survey instrument is 1.7 meters above the ground. Determine and state, to the nearest tenth of a meter, the height of the flagpole.
Determine the height of the flagpole to the nearest tenth of a meter.
The line is transformed by a dilation centered at the origin. Which linear equation could represent its image?
In right triangle , altitude is drawn to hypotenuse , and .
Determine and state, to the nearest tenth, the length of .
Determine and state, to the nearest tenth, the length of .
A line that passes through the points whose coordinates are and is dilated by a scale factor of 3 and centered at the origin. The image of the line
In right triangle , and . To the nearest tenth, the length of is
Trapezoid , where , is shown below. Diagonals and intersect at , and .
If , and , determine and state .
If , and , determine and state .