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

Question

asked Jan 5, 2020 138k views

2 Answers

Dpmattingly · Answer 1 · 2020-01-08T05:04:30+0000

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

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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