Friday

November 21, 2014

November 21, 2014

Posted by **Dan** on Saturday, October 1, 2011 at 11:19am.

The captain measures the the angle of elevation to the top of the lighthouse to be 19 ^\circ.

How far is the ship from the base of the lighthouse?

- trig -
**Anonymous**, Saturday, October 1, 2011 at 12:53pmH = Hight of lighthouse

L = Distance between a ship and a lighthouse

tan( theta ) = H / L

If 19^ mean 19° then:

tan( theta ) = H / L

tan( 19° ) = 120 / L

L * tan( 19° ) = 120 Divide both sides with tan( 19° )

L = 120 / tan ( 19° )

L = 120 / 0.34433

L = 348.5 ft

If 19^ mean 19´ then:

tan( theta ) = H / L

tan( 19´ ) = 120 / L

L * tan( 19´ ) = 120 Divide both sides with tan( 19´ )

L = 120 / tan ( 19´ )

L = 120 / 0.00553

L = 21,699.82 ft

If 19^ mean 19" then:

tan( theta ) = H / L

tan( 19" ) = 120 / L

L * tan( 19" ) = 120 Divide both sides with tan( 19" )

L = 120 / tan ( 19" )

L = 120 / 0.00009

L = 1,333,333.33 ft

**Answer this Question**

**Related Questions**

trig - The captain of a ship at sea sights a lighthouse which is 280 feet tall. ...

Calculus - The captain of a ship at sea sights a lighthouse which is 260 feet ...

math-geometry - a person in a boat sights the top of a lighthouse at an angle of...

geometry - Daniel sees a lighthouse in the harbor. He estimates the angle of ...

Geometry - how do I set up this problem a man standing on the deck of a ship ...

Geometry - how do I set up this problem a man standing on the deck of a ship ...

calculus - Suppose lighthouse A is located at the origin and lighthouse B is ...

physics - A lighthouse that rises 46.0 ft above the surface of the water sits ...

formal geomerty - A person in a small boat sights the top of a 40-foot ...

math - the Angle of Elevation From a Ship to the Top of a Lighthouse on the ...