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find the link that the missing side round your answers to the nearest tenth hypotenuse= 20 27° base= х

Sagot :

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

View image YunusH781381
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