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andrew-mc [135]
3 years ago
10

Find x in this 45°-45°-90° triangle. x =

Mathematics
2 answers:
Kryger [21]3 years ago
5 0

Answer:

The answer to your question is x = 11√2  or 15.56  

Step-by-step explanation:

Data

Right triangle

hypotenuse = 22

angle = 45°

adjacent side = 45°

To solve this problem, use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

                  cos Ф = Adjacent side / hypotenuse

-Solve for adjacent side

                 Adjacent side = hypotenuse x cos Ф

-Find cos 45° = √2 / 2

-Substitution

                Adjacent side = (22)(√2 /2)

               Adjacent side = 11√2  or 15.56

djyliett [7]3 years ago
5 0

Answer:

The answer to your question is x = 11√2  or 15.56  

Step-by-step explanation:

Data

Right triangle

hypotenuse = 22

angle = 45°

adjacent side = 45°

To solve this problem, use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

                   cos Ф = Adjacent side / hypotenuse

-Solve for adjacent side

                  Adjacent side = hypotenuse x cos Ф

-Find cos 45° = √2 / 2

-Substitution

                 Adjacent side = (22)(√2 /2)

                Adjacent side = 11√2  or 15.56  

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