Question

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

Answer 1

x = 4

Explanation:

We require to find RT

Since ΔRST is right use the sine ratio to find RT

sin60° =
`(opposite)/(hypotenuse)` =
`(2√(3) )/(RT)`

Multiply both sides by RT

RT × sin60° = 2
`√(3)` ( divide both sides by sin60° )

RT =
`(2√(3) )/(sin60)` = 4

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Since ΔRTQ is right use the tangent ratio to find x

tan45° =
`(RQ)/(RT)` =
`(x)/(4)`

Multiply both sides by 4

4 × tan45° = x, hence

x = 4 × 1 = 4

That is x = 4

Answer 2

im pretty sure its 85

please correct me if im wrong!