Asked by Bianca
Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30o and 60o respectively. If the height of the building is known to be h =120 m, find the distance (in meters) between the two men.
Answers
Answered by
MathMate
Assuming that both observers are at an elevation level with the base of the building.
Height of the building, H = 120m
Distance of observer 1 = D1
Angle of elevation = α
By the definition of tangent = opp/adj
H/D1=tan(α), therefore
D1=H/tan(α)
Since H and α are known, D1 can be calculated numerically.
Distance of observer 2 = D2
Angle of elevation = β
H/D2=tan(β)
D2=H/tan(β)
Distance between observers = D2-D1
Height of the building, H = 120m
Distance of observer 1 = D1
Angle of elevation = α
By the definition of tangent = opp/adj
H/D1=tan(α), therefore
D1=H/tan(α)
Since H and α are known, D1 can be calculated numerically.
Distance of observer 2 = D2
Angle of elevation = β
H/D2=tan(β)
D2=H/tan(β)
Distance between observers = D2-D1
There are no AI answers yet. The ability to request AI answers is coming soon!