Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per second. The person knows that as they walk away from the pole that the length of their shadow increases. The person is wondering if the length of their shadow is also changing at a constant rate. Assume that θ is measured in degrees. The light pole is still 3.69 meters tall, and the person is still 1.92 meters tall. a. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds (t) since they began walking: d= b. Using what you know about similar triangles, write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds (t) since they began walking: s= c. Find the average rate of change of the length of the person's shadow, in meters, with respect to time over each given interval. i. The first 11 seconds since the person began walking. ii. From 11 seconds to 19 seconds since the person began walking. iii. From 19 second to 27 seconds since the person began walking.
Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per second. The person knows that as they walk away from the pole that the length of their shadow increases. The person is wondering if the length of their shadow is also changing at a constant rate.
Assume that θ is measured in degrees. The light pole is still 3.69 meters tall, and the person is still 1.92 meters tall.
a. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds (t) since they began walking:
d=
b. Using what you know about similar triangles, write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds (t) since they began walking:
s=
c. Find the average rate of change of the length of the person's shadow, in meters, with respect to time over each given interval.
i. The first 11 seconds since the person began walking.
ii. From 11 seconds to 19 seconds since the person began walking.
iii. From 19 second to 27 seconds since the person began walking.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
