Question

the angle of elevation of the top of a tower from certain point is 30 degree if the observer moves 20 m towards the tower the angle of elevation of the top increased by 15 degree find the height of the tower​

Answer 1

Hey mate here is ur ans

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in tri ADC

p/b=tan45°

p/x=1/1

cross multiply

we get p=x..........(1)

In tri.ABC

p/b=tan30°

p/x+20=1/root3

cross multiply

we get p=x+20/root3........(2)

comparing (1) and(2)

x/1=x+20/root3

cross multiply

we get root3x- x=20

x(root3-1)=20

x=20/root3-1 = 20/1.732-1=20/0.732

=27.32

hopes it's helps uh ❗ ❗