Math, asked by trathore60788, 5 months ago

(v) What is the angle of depression from top of tower to point O ?

Answers

Answered by ItzFadedHoney
1

According to me :-

Let AB=height of the building=100m

DE=AC=AB+BC=h= height of the tower

∠ADC=60

∠BDC=60

Now

tan30

=

CD

CB

=

d

x

3

1

=

d

x

(1)

tan60

=

CD

CA

=

d

x+100

3

=

d

x+100

(2)

From (1)

d=

3

x (3)

Substituting (3) in (2)

3

=

3

x

(x+100)

3x=x+100

2x=100

x=50

Height of the tower=DE=h=AB+CB=100m+x=100m+50m=150m

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