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

What is the value of x? enter your answer in the box.​-example-1

2 Answers

6 votes

Answer:

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

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

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

User Dpmattingly
by
7.4k points
2 votes

im pretty sure its 85

please correct me if im wrong!

User Pintu
by
8.3k points

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