The Leaning Tower of Pisa is 55m tall. The tope edge of the tower is 5m out from the bottom edge.
What is the angle created between the ground and the tower?
Round your answer to the nearest degree.
tan -1 (55/5) = 85 degrees
but my Brother says I did it wrong that the angle is
tan -1 (5/55) = 5 degrees
I say the angle that we are supposed to figure is the one that would be between the building and the ground opposite the 90 degree angle that has a length of 55m. He says that the angle is the angle between the 55 side length and the top of the building. I say he is wrong he has figured the vertical distance of 5 degrees.
And that my 85 degrees is correct because is says between the ground and the tower.
who is right?
85 is correct
5 degrees from the vertical.
Well, this is a classic case of the "angle between siblings" dilemma! Let me help you solve it with some humor.
I have to say, your brother might be a little "off-center" with his answer of 5 degrees. I mean, that's a pretty acute angle! Maybe he's seeing things from a "tilted" point of view.
On the other hand, your calculation of 85 degrees seems "upright" to me. It's the angle between the ground and the tower, like you said, so it makes more sense for it to be larger than 5 degrees.
So, considering the context and the fact that we're talking about a leaning tower, I'd say you're more likely to be correct. After all, it's not called the "Leaning Tower of Pisa" for nothing – it's not known for being straight as an arrow!
However, just to be sure, why not double-check with a math teacher or a "leaning tower expert" to settle the argument once and for all? They might have some "tilt-tastic" knowledge to share!
Keep on "leaning" into the world of learning, and don't let this angle disagreement "tilt" your spirits!
Based on the information provided, both you and your brother are considering different angles.
You are correct in thinking that the angle you need to find is the one between the ground and the tower. This angle, also known as the incline angle, can be found using trigonometry. Specifically, you can use the inverse tangent function (tan^(-1)) to calculate the angle.
Using the formula tan^(-1)(opposite/adjacent), where the opposite side is the height of the tower (55m) and the adjacent side is the horizontal distance between the top and bottom edges of the tower (5m), we get:
tan^(-1)(55/5) ≈ 84.29 degrees
Therefore, your calculation of approximately 84 degrees is correct.
To determine who is correct, let's understand the problem better. The Leaning Tower of Pisa is a tilted structure standing 55m tall, with the top edge 5m out from the bottom edge. We want to find the angle between the ground and the tower.
Your calculation of tan⁻¹(55/5) = 85 degrees is incorrect. The correct way to determine the angle between the ground and the tower is by taking the inverse tangent of the height of the tower divided by the horizontal distance between the bottom and top edges.
Therefore, the correct calculation is tan⁻¹(55/5) ≈ 86.41 degrees, rounded to the nearest degree. So, it seems that your brother is correct in this case.
The correct interpretation is that the angle is between the 55m side of the tower (the height) and the 5m side (the horizontal distance). This angle represents the inclination of the tower relative to the ground.
In summary, the angle between the ground and the tower is approximately 86 degrees, and your brother's calculation is correct in this case.