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A garden in the shape of a right triangle is bordered on one side by a brick wall, on another side by a wooden fence, and on the third side by grass.

What is the measure of the angle formed by the wooden fence and the grass?

Enter your answer in the box. Round only your final answer to the nearest degree

Netzer7  Jun 8, 2017

Best Answer 

 #1
avatar+17528 
+2

Using the Pythagorean Theorem to find the length of the grass side:  c2  =  132 + 212     --->     c  =  24.698  (approx)

 

For the angle wanted, the adjacent side is the side with the wooden fence and the hypotenuse is the grass side.

Since  cos  =  adj / hyp     --->     cos(Angle)  =  wood / grass  =  21 / 24.698  =  0.8503

                                        --->             Angle   =  cos-1 ( 0.8503 )  =  31.76o  (approx)

geno3141  Jun 8, 2017
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2+0 Answers

 #1
avatar+17528 
+2
Best Answer

Using the Pythagorean Theorem to find the length of the grass side:  c2  =  132 + 212     --->     c  =  24.698  (approx)

 

For the angle wanted, the adjacent side is the side with the wooden fence and the hypotenuse is the grass side.

Since  cos  =  adj / hyp     --->     cos(Angle)  =  wood / grass  =  21 / 24.698  =  0.8503

                                        --->             Angle   =  cos-1 ( 0.8503 )  =  31.76o  (approx)

geno3141  Jun 8, 2017
 #2
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0

58-21 = 37

Guest Jun 8, 2017

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