SOLUTION: As part of a surveying problem, a laser beam ("L") is targeted from the ground to a point on a building (point "P")60 meters above ground. Find the lenght of the laser beam ("LP")

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Question 195810: As part of a surveying problem, a laser beam ("L") is targeted from the ground to a point on a building (point "P")60 meters above ground. Find the lenght of the laser beam ("LP") and find the distance the laser is positioned from the building along the ground. The ground point is ("B"). The angle of the laser beam is 55*(angle LB)
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us see the Laser Beam pointing to the building:


BY Trigo Function:
sin%28LB%29=opp%2Fhyp
sin%2855%5Eo%29=60m%2FLP
LP=60m%2Fsin%2855%5Eo%29
red%28LP=73.25m%29, Length of Laser beam

Also,
cos%28LB%29=adj%2Fhyp=X%2FLP
cos%2855%5Eo%29=X%2F73.25
X=cos%2855%5Eo%29%2873.25%29
red%28X=42m%29, Distance of ground point to the building

Or by Pyth Theorem:
73.25%5E2=x%5E2%2B60%5E2
x%5E2=73.25%5E2-60%5E2
x=sqrt%281765.5625%29
red%28X=42m%29

Thank you,
Jojo