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Given:
a.) hypotenuse = 20
b.) 27°
c.) base = х
Let's name the other side of the triangle as y. Putting more details in the figure, we get:
1.) To find x, we will be using the Cosine Function.
[tex]\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}[/tex]We get,
[tex]\text{ Cosine }(27^{\circ})\text{ = }\frac{\text{ x}}{\text{ 20}}[/tex][tex]\text{ (20) Cosine }(27^{\circ})\text{ = x}[/tex][tex]\text{ (20)(}0.89100652418)\text{ = x}[/tex][tex]17.8201304838\text{ = x}[/tex][tex]\text{ 17.8 }\approx\text{ x}[/tex]Therefore, the measure of x is 17.8
