Respuesta :

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

  • so opposite the angle we are working out is "o"
  • And the longest side is the hypotunese but just remember it as "h"
  • a is the remaining side but does not have a value and is blank therefore we need to worry about this side
  • We have "o" and "h" which is the formula triangle with sin
  • o/sin*h
  • But as we are working out the angle(sin)  we change the formula so it is sin=0/h
  • sin=51/61
  • sin=0.8
  • then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7
  • so the angle is 56.7
RELAXING NOICE
Relax