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the angle of depression of the top and bottom of an 8m tall building from the top of a multi storyed buiding are 30degree and 45 degree respectively find the height of the multi storyed building and the distance between 2 buildings

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Let the height of the multistory building be y and the distance between them be x. The draw yourself a figure.

You should be able to convince yourself that
y/x = tan 45 = 1
(y-8)/x) = tan30 = 0.5774 = (x-8)/x
1 - (8/x) = 0.5774
8/x = 0.4226
x = 18.9 m
y = 18.9 m

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