One day you measure a Sequoia tree to have some height d. After some time 7, you return to measure the same tree but find that it is now too tall to accurately measure. However, you notice that when the sun is 30° above the horizon a shadow with length 5d is cast onto the ground. (a) What is the height of the tree at the later time 7? (b) Find an expression for the average speed of tree growth over the time 7. (c) If T = 5 years and d = 6 ft, what is the average speed in miles per hour? At time T 30° 5d

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Problem 3 Growing Sequoia
One day you measure a Sequoia tree to have some height d. After some time T, you return to measure
the same tree but find that it is now too tall to accurately measure. However, you notice that when the
sun is 30° above the horizon a shadow with length 5d is cast onto the ground. (a) What is the height of
the tree at the later time 7? (b) Find an expression for the average speed of tree growth over the time 7.
(c) If T = 5 years and d = 6 ft, what is the average speed in miles per hour?
At time T
30°
5d
Transcribed Image Text:Problem 3 Growing Sequoia One day you measure a Sequoia tree to have some height d. After some time T, you return to measure the same tree but find that it is now too tall to accurately measure. However, you notice that when the sun is 30° above the horizon a shadow with length 5d is cast onto the ground. (a) What is the height of the tree at the later time 7? (b) Find an expression for the average speed of tree growth over the time 7. (c) If T = 5 years and d = 6 ft, what is the average speed in miles per hour? At time T 30° 5d
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