Respuesta :
Answer: 40°
Explanation:
[tex]\tan(\theta) = \cfrac{109}{130} [/tex]
[tex]\theta = 40 \textdegree[/tex]
The Wise Orange wonders about the purpose of knowing the degree of elevation.
Explanation:
[tex]\tan(\theta) = \cfrac{109}{130} [/tex]
[tex]\theta = 40 \textdegree[/tex]
The Wise Orange wonders about the purpose of knowing the degree of elevation.
The angle of elevation of the sun is approximately 40 degrees
The scenario forms a right angle triangle.
The height of the tree is the opposite side of the right angle triangle formed .
The shadow casted on the ground is the adjacent side of the triangle.
Therefore, using trigonometric ratio, the angle of elevation can be found as follows:
height of the tree = 109 ft
length of the shadow = 130 ft
let
the angle = ∅
tan ∅ = opposite / adjacent
tan ∅ = 109 / 130
∅ = tan⁻¹ 0.83846153846
∅ = 39.978520842
∅ ≈ 40°
learn more on trigonometry here: https://brainly.com/question/24303045