Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long.Point C is on the line x = -1.
If the area of AABC is 6 square units,
then find a possible y-coordinate of point
05
06
07
08
then find a possible y-coordinate of point
05
06
07
08
1 answer:
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Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor.
It means they are travelling at a constant rate.
Slope formula:
From the given table it is clear that the of Brian's car from the sensor is 34 at 1 sec and 38 at 3 sec. The rate of change is
It means the Brian's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 31 at 3 sec. The rate of change is
It means the Kelsey's car traveled at the rate of 2 cm per sec.
From the given table it is clear that the of Brian's car from the sensor is 27 at 1 sec and 33 at 3 sec. The rate of change is
It means the Geoff's car traveled at the rate of 3 cm per sec.
Since Brian's and Geoff's car traveled at the same rate, therefore option 1 is correct.
The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.
<h3>How can the distance between Vic and Dan be calculated?</h3>Location of Vic relative to the tower = South
Vic's sight angle of elevation to the top of the tower = 61°
Dan's location with respect to the tower = West
Dan's angle of elevation in order to see the top of the tower = 72°
Height of the tower = 553.3m
- Vic's distance from the tower ≈ 306.7 m
Similarly, we have;
- Dan's distance from the tower ≈ 179.8 m
Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;
- d = √(306.7² + 179.8²) ≈ 356
Therefore;
- Vic is approximately 356 meters from Dan
Learn more about Pythagorean theorem here:
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