Question

it A pilot in an aeroplane observes that the Vashi bridge is on one side of the
plane and Worli sea link is just on the opposite side. The angle of depression
of Vashi bridge and Worli sea link are 60° and 30° respectively. If the
aeroplane is at a height of 5500v3m at that time, what is the distance
between Vashi bridge and Worli sea link?!

Answer 1

It may be help you.....

Answer 2

Recall:

$\tan \theta = \dfrac{\text{Opposite}}{\text{Adjacent}}$

Find the distance between the Worli Sea Link and the vertical point of the pilot's sight:

Let the distance be D1

$\tan \theta = \dfrac{\text{Opposite}}{\text{Adjacent}}$

$\tan (30)= \dfrac{5500\sqrt{3} }{\text{D1}}$

$\text {D1} = \dfrac{5500\sqrt{3} }{\tan (30)}$

$\text {D1} = 16500 \text { m}$

Find the distance between the Vashi Bridge and the vertical point of the pilot's sight:

Let the distance be D2

$\tan \theta = \dfrac{\text{Opposite}}{\text{Adjacent}}$

$\tan (60)= \dfrac{5500\sqrt{3} }{\text{D2}}$

$\text {D2} = \dfrac{5500\sqrt{3} }{\tan (60)}$

$\text {D1} = 5500 \text { m}$

Find the total distance:

$\text{Total Distance } = 16500 + 5500$

$\text{Total Distance } = 22000 \text { m}$

Answer: The distance between Vashi bridge and Worli Sea Link is 22000 m