Two boats are equidistant from a lighthouse. the boats are 30 miles apart. the angle formed between the two boats, with the lighthouse as the vertex, measures 40°. approximately how far is each boat from the lighthouse?
20 mi.
21 mi.
44 mi.
46 mi.

Option A

Distance of each boat from light house is approximately 20 miles.

Solution:

The diagram of this question is attached below

In the attached figure A and B represents position of two boats and C represents position of light house.

Given that CA = CB and  

So triangle ABC is isosceles triangle with angle

 [Angle opposite to equal side CA and CB]

[Angle sum property of triangle]

Construct a median CE on AB,

AE = EB  [ Since CE is median]

In triangle AEC,

Hence AC that is distance of each boat from light house is approximately 20 miles.

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

idk man good luck man