Suppose a plant grow one inch every year if X is how old the plant is (years) and f(x) is how tall the plant is (in inches) what
1 answer:
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Answer:
see explanation
Step-by-step explanation:
There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.
The height above the tower to the plane = 13000 - 150 = 12850 ft
The angle between the plane and the tower is 20° , angle of depression.
Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then
tan20° = =
( multiply both sides by hor)
hor × tan20° = 12850 ( divide both sides by tan20° )
hor = ≈ 35305 ft ( to the nearest foot )
(2)
Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )
Using the right triangle formed with legs 65 and 37 and angle of depression x, then
tanx° = =
, thus
x = (
) ≈ 30° ( to the nearest degree )
Answer: x=- 8 or x=2
Step-by-step explanation:
1. To solve this problem you can applly the quadratic formula, which is shown below:
2. The quadratic equation is:
3. Then:
a=1
b=6
c=-16
4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result: