from the top of a tower 100m height a man observes two cars on the opposite side of tower is angle of depression 30 degree and 45 degree respectively find the speed distance between the car
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Step-by-step explanation:
Let the observer be D and the cars be A and B.
Therefore, the difference between the cars speed distance will be (x-y).
In ∆BCD
tan 45°= CD/BC
1= 100/ y
y= 100m .....(1)
Now, In ∆ACD
tan 30°= CD/AC
1/√3 = 100/ X
x= 100√3
x= 100× 1.73
= 173 m .....(2)
therefore, from (1) & (2)
the cars speed distance = x- y
= 173-100
= 73m.
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