Question
A tree costs a shadow 21m long. The angle of elevation of the sun is 51 degrees what is the height of the tree
Answers
GPT 3.5
We can use trigonometry to solve this problem.
Let's assume the height of the tree is "h" meters.
Using the given information, we have:
The shadow, adjacent to the angle, is 21 meters long.
The angle of elevation, opposite to the angle, is the height of the tree, which is "h" meters.
Now, we can use the tangent function to calculate the height of the tree:
tan(51 degrees) = h / 21
To find the value of tangent(51 degrees), you can either use a calculator or a trigonometric table. The tangent of 51 degrees is approximately 1.2788.
So, we have:
1.2788 = h / 21
To isolate "h", we can multiply both sides of the equation by 21:
1.2788 * 21 = h
Approximately, h = 26.8548
Therefore, the height of the tree is approximately 26.8548 meters.
Let's assume the height of the tree is "h" meters.
Using the given information, we have:
The shadow, adjacent to the angle, is 21 meters long.
The angle of elevation, opposite to the angle, is the height of the tree, which is "h" meters.
Now, we can use the tangent function to calculate the height of the tree:
tan(51 degrees) = h / 21
To find the value of tangent(51 degrees), you can either use a calculator or a trigonometric table. The tangent of 51 degrees is approximately 1.2788.
So, we have:
1.2788 = h / 21
To isolate "h", we can multiply both sides of the equation by 21:
1.2788 * 21 = h
Approximately, h = 26.8548
Therefore, the height of the tree is approximately 26.8548 meters.