SOLUTION: A monument stands on level ground. If the geight of the monument is 800 ft, find the angle of elevation to the top of monument from 405 ft away if a person is 5ft tall.

Algebra ->  Trigonometry-basics -> SOLUTION: A monument stands on level ground. If the geight of the monument is 800 ft, find the angle of elevation to the top of monument from 405 ft away if a person is 5ft tall.      Log On


   

Question 1104326: A monument stands on level ground. If the geight of the monument is 800 ft, find the angle of elevation to the top of monument from 405 ft away if a person is 5ft tall.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical leg is 795 feet, and horizontal leg is 405 feet.

x, angle of elevation

795%2F%28sqrt%28%28795%29%5E2%2B%28405%29%5E2%29%29=sin%28x%29, and you can find x, maybe needing to use calculator or trig table.

You could have chosen tangent function instead. Either way, you should find 63 degrees (to nearest whole number).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
From the top of the person's head,
the monument is still +405+ ft away
but the height is +795+ ft so that
I have a right triangle.
-----------------------------------
let +alpha+ = the angle of elevation
+tan%28+alpha+%29+=+795+%2F+405+
+tan%28+alpha+%29+=+1.963+
+alpa+=+arc+tan+%28+1.963+%29+
+alpha+=+63.005+
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The angle of elevation is 63 degrees
You might want a 2nd opinion too