Question

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

Answer 1

first draw the diagram for the given question then write the values and calculate for the trigonometric ratios and do it answer will come

Answer 2

Answer:

27.32m

Step-by-step explanation:

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 ans.