Question

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

Answer 1

Explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

Answer 2

`x = 4 √(2)`

Explanation:

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

Using cosine we have

`\cos(\theta) = (adjacent)/(hypotenuse)`

From the question

x is the hypotenuse

4 is the adjacent

We have

`\cos45= (4)/(x) \\ x \cos45 = 4 \\ x = (4)/( \cos(45) )`

We have the final answer as

`x = 4 √(2)`

Hope this helps you