A ship of height 9 meters is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and the base of the ship equal 30 degrees and 45 degrees respectively. How far is the ship from the lighthouse?

meters

Step-by-step explanation:

For the two angle of depressions one at the top of mast and other at the base will provide two distinct equation is terms of distance between the ship and lighthouse.

Let the distance between the ship and lighthouse be represented by X

y be the vertical distance above height of ship i.e meters.

Equation 1

or

Second equation

Or

Equating both the equation 1 and 2 we get -

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: