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25 votes
Find the value of x. *

50 PTS!

5
25
5√2
50

Find the value of x. * 50 PTS! 5 25 5√2 50-example-1

2 Answers

2 votes

Answer:

Answer: x is 5 units

Explanation:

» From trigonometric ratios,


{ \tt{ \red{ \sin( \theta) = (opposite)/(hypotenuse) }}} \\

  • theta is 45°
  • opposite is x
  • hypotenuse is √50


{ \tt{ \sin(45 \degree) = (x)/( √(50) ) }} \\ \\ { \tt{x = √(50) * (1)/( √(2) ) }} \\ \\ { \tt{x = \sqrt{ (50)/(2) } }} \\ \\ { \tt{x = √(25) }} \\ { \boxed{ \tt{x = 5 \: units}}}

Or, from pythogras theorem


{ \tt{ {a}^(2) + {b}^(2) = {c}^(2) }}

  • a is x, and b is x
  • c is √50


{ \tt{ {x}^(2) + {x}^(2) = {( √(50)) }^(2) }} \\ { \tt{2 {x}^(2) = 50 }} \\ { \tt{ {x}^(2) = 25}} \\ { \tt{x = √(25) }} \\ { \boxed{ \tt{x = 5 \: units}}}

User Matthew Darnell
by
8.8k points
9 votes

Answer:

  • Option A

Explanation:

We can solve this with the help of Pythagoras theorem.

  • => (√50)² = x² + x²
  • => √50 x √50 = x² + x²
  • => 50 = 2x²
  • => 25 = x²
  • => x = 5

Hence, the value of x is 5 units.

User Brunov
by
7.8k points

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