Aboat is 122 meters from the base of a lighthouse that is 34 meters above sea level. what is the angle of elevation from the boat to the top of the lighthouse? round to the nearest degree.

In order to understand better this problem, we can use the figure attached, in which we have a right triangle (with a 90 degree angle), where is its hypotenuse, is the adjacent side to the angle of elevation from the boat to the top of the lighthouse and is the opposite side to .

Knowing this, we will use the tangent trigonometric function to find :

  (1)

  (2)

  (3)

  (4)

Finally:

452,489 to the nearest thousand is 452,000