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. 

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