find the height of the triangle10 points!

By the 6 trigonometric ratios in a right triangle
 
(sine, cosine, tangent, cotangent, secant, cosecant)

we have the following:


[tex]\displaystyle{ sin20^o= \frac{opposite \ side}{hypothenuse}= \frac{x}{10} [/tex]


So, [tex]x=10\cdot sin20^o[/tex]


sin20° must be given, or can be found using a calculator:


Using the calculator of our pc: Calculator- view:Scientific- press 20 then sin button, we find : sin20°=0.342


[tex]x=10\cdot sin20^o=10\cdot0.342=3.42[/tex]


Answer: A)3.4