Question

barbra went for a walk in the city park. To cut across the rectangular park, she chose the path shown by the dotted line in the drawing below. At what angle, x, did Barbra cut across the park?

Answer 1

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

$a = tan^{-1}(0.79459)$

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,

Learn more about using rectangle measure from brainly.com/question/12135418

#learnwithBrainly