MHB Angle of Elevation: Calculating Height of Statue

  • Thread starter Thread starter leprofece
  • Start date Start date
  • Tags Tags
    Angle
AI Thread Summary
The discussion centers on calculating the height of a statue using the angle of elevation and various trigonometric relationships. The formula presented involves variables such as alpha, beta, and 'a,' but lacks clarity on their definitions and relationships. Participants request a diagram to better understand the variables and their roles in the calculation. There is confusion regarding the angle of elevation 'x' and its absence in the provided formula. Clarifying these points is essential for demonstrating the relationship accurately.
leprofece
Messages
239
Reaction score
0
(90) on a column stands a statue of length b. From some point
If the foot of the statue with an angle of elevation x. approaching the observation point a distance to the column, the part looks more high from the same angle increased in betha statue. Demonstrate that (see figure)

from figure I see sinalpha/cos(alpha) (a -acosbetha+bsinbetha) = a sen (betha) -b+bcos(betha)
I think this is that I must demonstrateView attachment 2088
 

Attachments

  • Scan.jpg
    Scan.jpg
    10.9 KB · Views: 91
Mathematics news on Phys.org
You mention an angle of elevation $x$, but it is not present in the formula attached. What does $a$ represent?

Please attach a diagram so that we can see what the variables actually represent.
 
MarkFL said:
You mention an angle of elevation $x$, but it is not present in the formula attached. What does $a$ represent?

Please attach a diagram so that we can see what the variables actually represent.

Sorry
x is alpha in the formula or image
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Back
Top