Question

Find the value of x. write your answer in simplest radical form

Answer 1

Answer:

$x = 4 \sqrt{2}$

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

$\cos(\theta) = \frac{adjacent}{hypotenuse}$

From the question

x is the hypotenuse

4 is the adjacent

We have

$\cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) }$

We have the final answer as

$x = 4 \sqrt{2}$

Hope this helps you

Answer 2

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7