Note: As you have missed to add the attach drawing. After a little research I found the correct drawing of your question. Hence, I am answering your question based on that drawing I have attached.
Answer:
Barbra cut across the park at an angle x = 51.5° as shown in attached figure. Please check the attached figure as complete solution, along with complete question, is given there.
Step-by-step explanation:
All the angles of a rectangle have same size and measure. So, each of the angles in a rectangle is a right angle. Let suppose a, b, c and d are the angles of a rectangle as shown in attached figure.
All the angles combine to make 360 degree. In other words, ever angle in a rectangle is 90 degree.
Please check the attached figure below as it would visualize and make you understand how the below calculation is done.
As a, b, c and d are the angles of a rectangle. As the length of the rectangle is 370 feet and width of rectangle is 294 feet.
So,
tan (a) = opp / adj
tan (a) = 294 / 370
tan (a) = 0.79459
[tex]a = tan^{-1}(0.79459)[/tex]
a = 38.47 °
As every angle of a rectangle makes 90°.
so,
<a + <x = 90°
<x = 51.50° ∵ <a = 38.47°
Therefore, angle x = 51.50° is the angle Babra cut across the park.
Keywords: angle,
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