Question

Question 11 5 pts Find the value of x. Round to the nearest tenth. х 329 12. Not drawn to scale a. 10.2 b. 14.3 C. 10.4 d. 14.2

Answer 1

`d)x=14.2`

Step-by-step explanation

Step 1

Let

angle= 32

hypotenuse=x

adjacent side=12

so, we need a function that relates angel, hypotenuse and adjacent side

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

replace,

`\begin{gathered} \text{cos}\emptyset=\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \text{cos32}=\frac{12}{\text{x}} \\ \text{Multiply both sides by x} \\ x\cdot\text{cos32}=\frac{12}{\text{x}}\cdot x \\ x\cdot\text{cos32}=12 \\ \text{divide both sides by cos 32} \\ \frac{x\cdot\text{cos32}}{\cos \text{ 32}}=\frac{12}{cos\text{ 32}} \\ x=14.15 \\ rounded \\ x=14.2 \end{gathered}`

so, the answer is

`d)x=14.2`

I hope this helps you