Height of tree Homework problem

In summary, the "Height of tree Homework problem" is a common problem used in scientific research to understand the growth patterns of trees and the factors that affect their height. Scientists use various methods to measure tree height, including simple trigonometric techniques, laser rangefinders, and aerial photography. The height of a tree can be influenced by genetics, species, age, soil quality, water availability, and weather conditions, and can have a significant impact on its surrounding ecosystem. This problem has practical applications in forestry, agriculture, and urban planning, as it can provide insights into tree management, conservation efforts, and economic value.
  • #1
bengaltiger14
138
0
Suppose there is a tree of unknown height. I am standing 76 meters away from the tree and the top of the tree is 32 degrees from where I am standing. Could I find the height of the tree by this:

76 cos(32) =64
76 sin(32) =40

Magnitude = SQRT 64^2 + 40^2
Height of Tree equals 75 meters??
 
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  • #2
I may be wrong, but:

Opposite = adjacent * Tan angle
= 76 * Tan 32
= 47.5

Is that one of your answers? If not, forget I replied. :D
 
  • #3
I think that is the right way. I think 47 meters is the correct answer.
 

1. What is the purpose of the "Height of tree Homework problem" in scientific research?

The "Height of tree Homework problem" is a common problem used in scientific research to understand the growth patterns of trees and the factors that affect their height. By solving this problem, scientists can gain insights into the biology and ecology of trees, as well as their response to environmental conditions.

2. How do scientists measure the height of trees?

Scientists use various methods to measure the height of trees, including simple trigonometric techniques, laser rangefinders, and aerial photography. These methods help to accurately determine the height of trees, which is essential for conducting research and monitoring changes in tree height over time.

3. What factors can affect the height of a tree?

The height of a tree can be affected by various factors, including genetics, species, age, soil quality, water availability, and weather conditions. These factors can influence the overall growth and development of a tree, which ultimately determines its height.

4. How does the height of a tree impact its surrounding ecosystem?

The height of a tree can have a significant impact on its surrounding ecosystem. Taller trees can provide more shade and shelter for smaller plants and animals, influence wind patterns, and contribute to nutrient cycling in the soil. The height of trees also plays a role in determining the species that can survive and thrive in a particular ecosystem.

5. How can the "Height of tree Homework problem" be applied in real-world situations?

The "Height of tree Homework problem" has many practical applications, such as in forestry, agriculture, and urban planning. By understanding the factors that affect tree height, scientists can make informed decisions about tree management and conservation efforts. Additionally, the problem can also be used to estimate the age and health of trees, which can be beneficial in determining their economic value.

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