The angle of depression from the top of a lighthouse to a boat in the water is 30°. if the lighthouse is 89 feet tall how far is the boat from the lighthouse to the nearest foot?

The 51.39 feet far is the boat from the lighthouse .

Step-by-step explanation:

Now by using the trignometric identity.

As given

The angle of depression from the top of a lighthouse to a boat in the water is 30°.

If the lighthouse is 89 feet tall .

As shown in the figure given below.

Base = AC = 89 feet

Perpendicular = CB

Put in the identity .

Put in the above

CB = 51.39 feet (Approx)

Therefore the 51.39 feet far is the boat from the lighthouse .

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )