Question

two persons on eighter side of a tower of 36 meters height observe its top at the angles of elevation 45 degree and 30 degree respectively. find the distance between the two persons (root 3 = 1.7320.

Answer 1

Before I begin I would like to tell u that drawing and being aware of the diagram is very important for trigonometric application questions. If u get the diagram right then more than 75% of the question is considered over.

Tower AB= 36m

Distance of observer at C=BC

tan 45°=AB/BC

1 = 36/BC

BC= 36m

Distance of observer at D=DB

tan 30°=AB/DB

1/√3=36/DB

DB= 36√3m

DB= 36×1.7320

DB= 65.352m

SO DISTANCE OF VIEWER FROM POINT C IS 36m WHILE FROM POINT D IT'S 65.352m

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