Answer:
D, see description below.
There is a possible typo in the problem since these points have slope 25/23.
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:
Here the points are (-4,-14) and (19,11). Substitute and simplify.
I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.
Each term is being divided by -3, so the next three terms would be:
-1/3, 1/9, -1/27
The correct answer would be B.
The situation is represented by a drawing with a right triangle where an airplane is at the top corner, the elevation angle (opposite to the airplane) is 70°, the height (vertical leg) is x, and the adjacent leg (horizontal leg) to the 70° angle is 800.
Then, to find the height x, which is the opposite leg to the angle, you can use the tangent ratio, which is opposite leg divided by adjacent leg:
tan(x) = opposite leg / adjacent leg => tan(70°) = x / 800
Answer: tan(70°) = x / 800
