MHB What is the Height of the Washington Monument from a Distance of 1000 Feet?

  • Thread starter Thread starter xyz_1965
  • Start date Start date
  • Tags Tags
    Height
xyz_1965
Messages
73
Reaction score
0
From a point level with and 1000 feet away from the base of the Washington Monument, the angle of elevation to the top of the monument is 29.05°. Determine the height of the monument to the nearest half foot.

Here is the set up.

Let M = height of monument to the nearest half foot.

tan (29.05°) = M/1000

Yes?
 
Mathematics news on Phys.org
Yes, tangent is "opposite side divided by near side". You have a right triangle in which one angle, at your eye, is 29.05 degree. The "near side" is the distance from you to the base of the monument and the "opposite side" is the Washington Monument itself.
 
Country Boy said:
Yes, tangent is "opposite side divided by near side". You have a right triangle in which one angle, at your eye, is 29.05 degree. The "near side" is the distance from you to the base of the monument and the "opposite side" is the Washington Monument itself.

I'm cooking with gas now. Cool...
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
Back
Top