Desde la cuspide de un faro de 50m de altura sobre el nivel del mar se observa que el angulo depersion a un bote velero es de 20º. Calcula la distancia horizontal del faro al bote

137.4 meters

Step-by-step explanation:

In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.

tan a ° = opposite / adjacent

the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:

horizontal distance = opposite / tan to °

replacing, we are left with:

hd = 50 / tan 20 °

hd = 50 / 0.3639

hd = 137.4

the horizontal distance is equal to 137.4 meters