Answer:
The approximate height of the boat ramp is 18.6 ft
Step-by-step explanation:
This problem can be thought of as a right triangle
well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle
α = 25°
a: adjacent = 40ft
o: opposite = height
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
we look at which meets those data between the sine, cosine and tangent
is the tangent
tan α = o/a
Now we replace the values and solve
tan 25° = o / 40ft
0.4662 * 40ft = o
18.65ft = o
The approximate height of the boat ramp is 18.6 ft
