Question

What is the value of x? enter your answer in the box.​

Answer 1

im pretty sure its 85

please correct me if im wrong!

Answer 2

Answer:

x = 4

Step-by-step explanation:

We require to find RT

Since ΔRST is right use the sine ratio to find RT

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{2\sqrt{3} }{RT}$

Multiply both sides by RT

RT × sin60° = 2$\sqrt{3}$ ( divide both sides by sin60° )

RT = $\frac{2\sqrt{3} }{sin60}$ = 4

-----------------------------------------------------------------------

Since ΔRTQ is right use the tangent ratio to find x

tan45° = $\frac{RQ}{RT}$ = $\frac{x}{4}$

Multiply both sides by 4

4 × tan45° = x, hence

x = 4 × 1 = 4

That is x = 4