From the top of tower, 100 m high, a man observes two cars on the opposite sides of the tower with the angles of depression 60° & 45°respectively. Find the distance between the cars
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Answer:
273.2m
Step-by-step explanation:
Let the height of the tower be AD=100m
Tan 45°=BD/AD
》1=BD/100
》100m=BD
Tan 60°=CD/AD
》root 3 =CD/100
》100×root 3=CD
》100×1.732=CD (VALUE OF ROOT 3= 1.732)
》173.2=CD
Therefore, BC=BD+DC
》BC=100+173.2
》BC=273.2m(Ans)
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