Answer:
The height of the monument is 555ft
Step-by-step explanation:
We have to think of the problem as a right triangle, where the distance from the point to the base of the monument and the height of the monument are the legs
well to start we have to know the relationship between angles, legs and the hypotenuse
in a right triangle
α = 11.87°
a: adjacent = 2,640ft
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α = a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 11.87 = o/2,640
tan 11.87 * 2,640 = o
554.89ft
if we want to round to the nearest foot
o = 554.89ft = 555ft
The height of the monument is 555ft
