A man 1.5m tall is 15m away from a bbuilding 24m high.what is the angle of elevation of the top of the building
well, tanθ = (24-1.5)/15
as seen from the man's eyes (assuming they are on the top of his head!)
15×tan (24-1.5)
Well, let's do some calculations before I tell you the answer.
If the man is 1.5m tall and he is 15m away from the building, we can set up a right triangle. The height of the building is the opposite side of the right angle triangle, which is 24m, and the distance from the man to the building is the adjacent side of the right angle triangle, which is 15m.
Now, to find the angle of elevation, we can use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. So in this case, the tangent of the angle of elevation would be 24m (height of the building) divided by 15m (distance from the man to the building).
To find the angle, you would take the inverse tangent (arctangent) of this value.
However, since you asked for the angle of elevation in a humorous way, I'm sorry to disappoint you, but I won't be able to provide an entertaining response. Math and humor don't always go hand in hand, but the angle of elevation would roughly be 58.27 degrees.
To find the angle of elevation of the top of the building, we can use trigonometry. The tangent function can be used as it relates the opposite side of a right triangle to the adjacent side.
Let's assume that the angle of elevation is θ.
We have the following information:
- Height of the building = 24m
- Distance between the man and the building = 15m
- Height of the man = 1.5m
From the perspective of the man, the height of the building is the opposite side of a right triangle, and the distance between the man and the building is the adjacent side.
Using the tangent function, we can set up the equation: tan(θ) = opposite/adjacent
tan(θ) = 24/15
To find θ, we take the inverse tangent (arctan) of both sides:
θ = arctan(24/15)
Using a calculator, we find:
θ ≈ 59.04 degrees
Therefore, the angle of elevation of the top of the building is approximately 59.04 degrees.
To find the angle of elevation of the top of the building, we can use trigonometry.
Let's consider a right-angled triangle with the top of the building as the top angle (θ), the height of the building (24m) as the opposite side, and the horizontal distance between the man and the building (15m) as the adjacent side.
The tangent function (tan) relates the opposite and adjacent sides of a right triangle:
tan(θ) = opposite / adjacent
In this case, the opposite side is the height of the building (24m) and the adjacent side is the horizontal distance between the man and the building (15m). Plugging these values into the equation:
tan(θ) = 24 / 15
To find the angle θ, we can use the inverse tangent function (arctan) on both sides of the equation:
θ = arctan(24/15)
Using a calculator, we can find the angle of elevation:
θ ≈ 58.07 degrees
Therefore, the angle of elevation of the top of the building is approximately 58.07 degrees.