Question

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

Answer 1

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.

`\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}`

We get,

`\text{ Cosine }(27^(\circ))\text{ = }\frac{\text{ x}}{\text{ 20}}`
`\text{ (20) Cosine }(27^(\circ))\text{ = x}`
`\text{ (20)(}0.89100652418)\text{ = x}`
`17.8201304838\text{ = x}`
`\text{ 17.8 }\approx\text{ x}`

Therefore, the measure of x is 17.8