Answer:
[tex]\Huge\boxed{x=15.9}[/tex]
Step-by-step explanation:
Hello There!
Because this is a right triangle we can use the Pythagorean theorem
When solving for missing leg we use this equation
[tex]c^2-b^2=a^2[/tex]
where c = hypotenuse and b = given leg and a = missing side length
now we plug in the given values into the formula
[tex]17^2-6^2=a^2\\17^2=289\\6^2=36\\289-36=253\\a^2=253\\\sqrt{a^2} =a\\\sqrt{253} = 15.9059737[/tex]
final step: round to the nearest tenth
so we can conclude that the missing angle is equal to 15.9
Notes:
- The Pythagorean theorem only works with right triangles
- We took the square root of a^2 and 253 to get rid of the power on a
- a is the equivalent of the missing angle (x)
