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pogonyaev
3 years ago
12

Find x and y please

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

Answer:

  • x → 4.24
  • y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ <u> </u><u>For</u><u> </u><u>x</u><u> </u>:

{ \tt{ \sin( \theta)  =  \frac{opposite}{hypotenuse} }} \\  \\ { \tt{ \sin(45 \degree)  =  \frac{x}{6} }} \\  \\ { \tt{x = 6 \times  \sin(45 \degree) }} \\ { \tt{x = 4.24}}

✍ <u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>y</u><u> </u>:

{ \tt{ \cos( \theta)  =  \frac{adjacent}{hypotenuse} }} \\  \\ { \tt{ \cos( 45  \degree)  =  \frac{y}{6} }} \\  \\ { \tt{y = 6 \times  \cos(45 \degree) }} \\ { \tt{y = 4.24}}

natulia [17]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

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