From the top of a 240-ft lighthouse, the angle of depression to a ship in the ocean is 25°. how far is the ship from the base of the lighthouse?

The distance between ship and base of light house is 514.69 feet

Solution:

Given that, From the top of a 240-ft lighthouse, the angle of depression to a ship in the ocean is 25°

The figure for the problem is attached below

ABC is a right angled triangle

AB = height of light house = 240 feet

BC = distance between ship and base of light house

Angle of depression = 25 degrees

By using defintion of tan,

In right angled triangle, ABC,

Opposite = AB and adjacent = BC

Thus distance between ship and base of light house is 514.69 feet

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.