Hey there mate ;),
Area of The shades region is <u>3098 m^2</u>
The solution is attached as picture. Please check.
<em>Answered</em><em> </em><em>by</em><em> </em><em>Benjemin</em>
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
You put them in fractions then cross multiple.
18/12 and 3/x so that's 36 equals 18x then you divide 36 by 18 which is 2.
