From the point level with a base of a tree and 65m from it, the angle of elevation of the top of the tree is 32 degrees. Find the height of the tree?
AAAaannndd the bot gets it wrong yet again!
65 tan32° = 40.61
We can use trigonometry (specifically, the tangent function) to solve this problem.
Let's call the height of the tree "h". The angle of elevation is the angle between the line of sight from the point to the top of the tree and the horizontal ground.
In this case, we have:
tan(32) = h / 65
To solve for "h", we can multiply both sides by 65:
h = 65 x tan(32)
Using a calculator, we get:
h ≈ 38.3 meters
Therefore, the height of the tree is approximately 38.3 meters.