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inysia [295]
3 years ago
11

The length of a shadow of a tree is 9 ft. The distance from the top of the tree to the tip of the shadow is 16 ft. what is the h

eight of the tree?
Mathematics
1 answer:
Margarita [4]3 years ago
7 0
So for this, you'll be using the pythagorean theorem to solve for the height.

9^2+b^2=16^2

Solve the exponents to get 81+b^2=256

Subtract 81 on each side to get b^2=175

Square root each side, and your answer should be b= \sqrt{175} or 13.23 ft
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The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
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Answer:

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Step-by-step explanation:

Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

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Find the value of xxx in the triangle shown below. Choose 1 answer: Choose 1 answer: (Choice A) A x=\sqrt{21}x= 21 ​ x, equals,
Keith_Richards [23]

Answer:

x = 15.8114

Step-by-step explanation:

The complete question is:

"The problem is asking for value of x. Two right triangles side by side, the altitude is 9. The bottom of whole triangle is 25. One side is 15 and the other side is x. What is the value of x?"

Solution:-

- Develop a diagram for the information given " Two right triangles side by side" The altitude i.e height (common to both triangle ) = 9. The total base length of both triangles is = 25. One side is 15 and other side is x.

                                x

                             x x  x

                           x   x    x

                         x     x       x  

                       x       x          x       x = ?

                     x         x             x

           15     x          x                x

                 x             x   9              x

               x               x                      x

             x                 x                         x

           x                   x                            x

         x                     x                               x

       x                       x                                  x

  B  x x x x x x x x x x x x x x x x x x x x x x x  C

                  y           D                  25-y

- We will first determine the value of "y" using the left hand side triangle and apply pythagorean theorem. Where, H = 15 , P = 9 , B = y.

                                H^2 = P^2 + B^2

                                15^2 = 9^2 + y^2

                                y = √(225 - 81 )

                                y = 12

- Now we can use the value of y and apply pythagorean theorem on right hand side triangle with sides. H = x , P = 9 , B = 25-y = 25 - 12 = 13.

                               H^2 = P^2 + B^2

                               x^2 = 9^2 + 13^2

                               x = √( 81 + 169 )

                               x = 15.8114

3 0
2 years ago
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