The shadow of a tree on the ground is found to be 20m when the sun rays meet the ground at an angle of 30 degree. Find the height of the tree
You can't get a trig problem more basic and fundamental than that,
somebody really has to learn those basics ....
make your sketch,
let the height of the tree be h
in your right-angled triangle, in terms of the 30° angle
h is the opposite, and 20 is the adjacent
tan 30° = opposite / adjacent = h/20
h = 20tan30°
= .....
Thank you ...
I have done just want to sure that my answer is correct
To find the height of the tree, we can use trigonometry.
Let's consider a right triangle formed by the tree, its shadow, and the sun's rays. The height of the tree is the opposite side, the shadow length is the adjacent side, and the angle of incidence (angle between the sun's rays and the ground) is 30 degrees.
We can use the tangent function to relate the height of the tree to the length of its shadow:
tan(angle) = opposite/adjacent
tan(30 degrees) = height/20m
To find the height, we can rearrange the equation:
height = tan(30 degrees) * 20m
Now, we can calculate the height of the tree:
height = tan(30 degrees) * 20m
≈ 0.577 * 20m [using the value of tangent of 30 degrees]
≈ 11.54m
Therefore, the height of the tree is approximately 11.54 meters.