19.4k views
4 votes
Find c.Write your answer in simplest radical form. ____ meters.

Find c.Write your answer in simplest radical form. ____ meters.-example-1
User VarunGupta
by
7.7k points

1 Answer

4 votes

c= 5 meters

Step-by-step explanation

we have a rigth triangle, then

Step 1

Let


\begin{gathered} \text{angle}=45\text{ \degree} \\ \text{hypotenuse}=5\sqrt[]{2} \\ \text{adjacent side= c} \end{gathered}

hence, we need a function that relates: angle, adjacent side and hypotenuse


\cos \text{ }\emptyset\text{= }\frac{adjacent\text{ side}}{\text{hypotenuse}}

now, replace


\begin{gathered} \cos \text{ }\emptyset\text{= }\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \cos \text{ 45= }\frac{c}{5\sqrt[]{2}} \end{gathered}

Step 2

solve the equation


\begin{gathered} \cos \text{ 45= }\frac{c}{5\sqrt[]{2}} \\ \frac{\sqrt[]{2}}{2}=\frac{c}{5\sqrt[]{2}} \\ \text{Multiply both sides by 5}\sqrt[]{2} \\ \frac{\sqrt[]{2}}{2}\cdot5\sqrt[]{2}=\frac{c}{5\sqrt[]{2}}\cdot5\sqrt[]{2} \\ (10)/(2)=c \\ 5=c \end{gathered}

therefore, teh answer is

c=5 meters

I hope this helps you

User Jolan
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories