Mathematics: What is the length of AC?

What is the length of AC? - id7580658, Spiderblack212

Ответ:

nwalker916

02.02.2022

The sin <ABC means that AC/AB. So we know AB=34. AC/AB=8/17. So the length of AC is 16. cos<ABC means BC/AB. tan<ABC means AC/BC.

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Ответ:

eylinglez3ovm16v

02.02.2022

Mathematics

We have that
AB=34

sin ∠ABC= $\frac{8}{17}$

we know that
in the right triangle ABC
sin ∠ABC is equal to $\frac{AC}{AB}$
AC is the opposite side angle B
AB is the Hypotenuse

sin ∠ABC= $\frac{8}{17}$ equation 1

sin ∠ABC= $\frac{AC}{34}$ equation 2

equate equation 1 and equation 2

$\frac{8}{17} = \frac{AC}{34} \\ \\ AC=34* \frac{8}{17} \\ \\ AC=16$

the answer is
AC=16