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Marrrta [24]
3 years ago
9

Please help me I’m stuck

Mathematics
2 answers:
Neko [114]3 years ago
8 0

Answer:

Step-by-step explanation:

use Pythagoras's   theorem  to find the hypontenuse of the isosceles triangle on the right side.

hyp = sqrt [ 5^2 + 5^2 ]

hyp = sqrt [ 50 ]

hyp = 7.0710678

now we know the adjacent side of the triangle on the left , since it's the same as the hypotenuse of the triangle on the right.

SOH CAH TOA ( to remember how the trig funct. fit on triangles)

CAH  Cos(Ф) = adj / hyp

cos(Ф) = 7.0710678 / 8

Ф = arcCos(  7.0710678 / 8 )

Ф = 27.8855668°

TOA  Tan(Ф) = x / 7.0710678

Tan( 27.8855668° ) =  x / 7.0710678

7.0710678 * Tan( 27.8855668° ) = x

3.741657 = x

x = 3.7  ( to the nearest 10th )

Gre4nikov [31]3 years ago
4 0

Answer:

x = 3.7

Step-by-step explanation:

We can find the side of the hypotenuse by applying pythagorean theorem.

{5}^{2}  +  {5}^{2}  =  {x}^{2}

25 + 25 =  {x}^{2}

50 =  {x}^{2}

x = 5 \sqrt{2}

Now we can apply pythagorean theorem on the other triangle

(5 \sqrt{2} ) {}^{2}  +  {x}^{2}  =   {8}^{2}

50 +  {x}^{2}  = 64

{x}^{2}  = 14

x =  \sqrt{14}

x = 3.7

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