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.
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 expression is equal to
Cape Canaveral, Florida is where NASA launches rockets into space. As modeled in the diagram below, a person views the launch of a rocket from observation area feet away from launch . After launch, the rocket was sighted at with an angle of elevation of . The rocket was later sighted at with an angle of elevation of . Determine and state, to the nearest foot, the distance the rocket traveled between the two sightings, and .
Calculate the distance the rocket traveled between and .
A vertical mine shaft is modeled in the diagram below. At a point on the ground 50 feet from the top of the mine, a ventilation tunnel is dug at an angle of .
What is the length of the tunnel, to the nearest foot?
Parallelogram is adjacent to rhombus , as shown below, and intersects at .
If and , determine and state .
Determine and state .
In the diagram below of parallelogram bisects bisects , and and intersect at . If , then the measure of is
In the diagram of below, bisects angle , and altitude is drawn. If and is
In the diagram below of parallelogram bisects bisects , and and intersect at . If , then the measure of is
In the diagram below, divides and proportionally, , and bisects . The measure of angle is