Answer:
24.7 feet
Explanation:
Maria who is 6 feet tall stands 20 feet away from the base of a tree she looks up at the top of the tree at a 43° angle of elevation.
what is the approximate height of the tree rounded to the nearest 10th?
We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
θ = Angle of elevation
Adjacent = Distance from the base of the tree = 20 feet
Opposite => Height of the tree = x
θ = 43°
tan 43 = x/ 20 feet
x = tan 43 × 20 feet
x = 18.650301723 feet
Approximately = 18.7 feet
We are told in the question that Maria is 6 feet tall
Therefore, the height of the tree = Maria's height + Height
= 6 feet + 18.7 feet
= 24.7 feet