Seudónimo Seudónimo
  • 04-09-2019
  • Mathematics
contestada

FInd the value of C.

A. 10

B. 5

C. √2

D. 10√2

I need this asap ty!

FInd the value of C A 10 B 5 C 2 D 102 I need this asap ty class=

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hmorcella
hmorcella hmorcella
  • 04-09-2019

Answer:

The side C equals to 10. hence the answer is letter A

Step-by-step explanation:

To solve this, we need to use trigonometric functions.

we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.

Given α= 45º and Lo= 5√2 and replacing in the equation:

sin (45º) = 5√2 / C (1)

Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):

sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10

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