A tower that is 125 feet tall casts a shadow 173 feet long find the angle of elevation of the sun to the nearest degree
1 answer:
Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
- Angle of elevation = ∅
- Opposite length = 125 ft
- Adjacent length = 172 ft
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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Answer:
The triangle is a right triangle.
Step-by-step explanation:
Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:
Therefore, the triangle is right.