3a - 17 < 34 Solve the following inequality
1 answer:
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Answer:
The height of the statue is <u>21.4 feet.</u>
Step-by-step explanation:
Given:
Distance of the person from the statue = 50 ft
Angle of elevation of the top of statue = 16°
Angle of depression of the bottom of statue = 8°
The diagram is drawn below.
In triangle ABC:
BC = 50 ft, ∠ABC = 16°
Using trigonometric formula;
Now, let us determine the height of man, 'x'.
Consider triangle BDE.
ED = 50 ft, ∠BDE = 8°
Using trigonometric formula;
Now, from the diagram, it is clear that, height of statue is given as:
Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
- A represents the area of a rectangle.
- l represents the length of a rectangle.
- w represents the width of a rectangle.
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
Read more on area of a rectangle here: brainly.com/question/25292087
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