An irregular polygon is shown below:
2 answers:
Answer:
Area of the Irregular polygon is 26 square unit.
Step-by-step explanation:
Given:
A figure of irregular polygon.
We need to find the are of the irregular figure.
We divide the irregular polygon in to rectangles.
Figure is attached with marking.
AG = 4 unit
AD = CB = 2 units
DF = AG - AD = 4 - 2 = 2 units
Area of the Polygon = Area of rectangle ABCD + Area of rectangle DEFG
= AB × CB + FG × DF
= 4 × 2 + 9 × 2
= 8 + 18
= 26 unit²
Therefore, Area of the Irregular polygon is 26 square unit.
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Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse = = 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°