Answer:
you are at a distance of 15.4 feet from the tree
Step-by-step explanation:
with the data they give us we can imagine a rectangular triangle, where the legs are the floor and the tree and the hypotenuse is the distance between the tip of the tree and the end of the shadow
we have to that the angle of elevation is 33 degrees
at the angle we will call it α
and the height of the tree we will call it opposite since it does not touch the angle
the distance we want to know we will call it adjacent
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 33 = 10/a
a = 10 / tan 33
a = 15.4
