Question

boat is sailing parallel to the shore and passes a lighthouse. The beam from the

lighthouse is visible for 14 miles. The boat passes the lighthouse along the path

shown in the diagram and at its closest point is 11 miles from the lighthouse. For

how many miles will the captain of the boat be able to see the lighthouse?​

Answer 1

Given :- The beam from the lighthouse is visible for 14 miles. The boat passes the lighthouse along the path

shown in the diagram and at its closest point is 11 miles from the lighthouse.

To Find :- How many miles will the captain of the boat be able to see the lighthouse ?

Answer :-

we know that, according to pythagoras theorem ,

• (perpendicular)² + (base)² = (hypotenuse)² .

from data we have,

• perpendicular distance = 14 miles .
• Base = 11 miles .
• Hypotenuse = Distance the captain of the boat be able to see the lighthouse .

so, using pythagoras theorem we get,

→ D² = (14)² + (11)²

→ D² = 196 + 121

→ D² = 317

→ D = √317

→ D = 17.8 miles (Ans.)

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