Answer:
Step-by-step explanation:
You need to draw a right triangle as the one attached, where is the angle of elevation from the fire to the top of the fire tower.
You need to use the Inverse trigonometric function Arctangent:
Observe the triangle. You can identify that:
Then, you can substitute values:
Finally, evaluating, you get that the angle of elevation from the fire to the top of the fire tower is the following:
Rounded to the the nearest tenth of a degree:
Answer:
<em>Her rate of change is 75 ft/h</em>
Step-by-step explanation:
<u>Rate of Change</u>
It measures how one quantity varies with respect to another. The second variable usually is the time.
The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).
At 6 hours, she is at 700 ft. This is the point (6,700)
The rate of change is the slope between these two points or the quotient of the variations of each variable:
Her rate of change is 75 ft/h
