Question

A
Find the value of x. Your answer must be exact.
30
9

Answer 1

Tan30=9/x so it will be 9((3)^1/2)

Answer 2

x = 9√3

Explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 9

The adjacent is x

Substitute the values into the above formula

That's

`\tan(30) = (9)/(x)`

`x \tan(30) = 9`

Divide both sides by tan 30

`x = (9)/( \tan(30) )`

We have the final answer as

x = 9√3

Hope this helps you