Question

What is the measure of angle x???

Answer 1

You use SOHCAHTOA.

Explanation:

`sin x= 84/85`

`sinx= 0.98823529411764705882352941176471`

`x = sin^-1 0.98823529411764705882352941176471`

`x= 81.20258929^@`

`x ~~ 81.20 ^@` (nearest hundredth)

Answer 2

`81.20^@`

Explanation:

`"right triangle so use "color(blue)"trig. ratios"`

`"since all 3 sides are given we have a choice of ratios"`

`sinx="opposite"/"hypotenuse"=(YZ)/(XZ)=84/85`

`"thus "x=sin^-1(84/85)=81.20^@`

`"or"`

`cosx="adjacent"/"hypotenuse"=(XY)/(XZ)=13/85`

`"thus "x=cos^-1(13/85)=81.20^@`

`"or "`

`tanx="opposite"/"adjacent"=(YZ)/(XY)=84/13`

`"thus "x=tan^-1(84/13)=81.20^@`