The horizontal distance between two poles is 15m

Asked by admin @ 29/08/2021 in Math viewed by 248 People

The horizontal distance between two poles is 15m. the angle of depression of the top of first pole as seen from thr top of second pole is 30 degree. if the pole is 24m , find the height of the first pole.

Answered by admin @ 29/08/2021

Let AB be the 1st pole and CD be the 2nd pole
AC=15m
CD=24m
let AB=x
CE=x
ED=24-x
consider triangle BED
tan30° = DE/BE
1/√3 = (24-x)/15
15= √3(24-x)
5√3 = 24-x
x = 24-5√3
= 15.33m

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